The same thing I gather also thus. Cambyses began his Reign in spring An.

J.P. 4185, and reigned eight years, including the five months of Smerdes; and then Darius Hytaspis began in spring An. J.P. 4193, and reigned thirty six years, by the unanimous consent of all Chronologers. The reigns of these two Kings are determined by three eclipses of the moon observed at Babylon, and recorded by Ptolemy; so that it cannot be disputed. One was in the seventh year of Cambyses, An. J.P. 4191, Jul. 16, at 11 at night; another in the 20th year of Darius, An. J.P. 4212, Nov. 19, at 11 h. 45 at night; a third in the 31st year of Darius, An. J.P. 4223, Apr. 25, at 11 h. 30 at night. By these eclipses, and the Prophecies of Haggai and Zechary compared together, it is manifest that his years began after the 24th day of the 11th Jewish month, and before the 25th day of April, and by consequence about March. Xerxes therefore began in spring An. J.P. 4229: for Darius died in the fifth year after the battle at Marathon, as Herodotus, lib. 7, and Plutarch mention; and that battle was in October An. J.P. 4224, ten years before the battle at Salamis. Xerxes therefore began within less than a year after October An. J.P. 4228, suppose in the spring following: for he spent his first five years, and something more, in preparations for his expedition against the Greeks; and this expedition was in the time of the Olympic games, An. 1 Olymp. 75, Calliade Athens Archonte, 28 years after the Regifuge, and Consulship of the first Consul Junius Brutus, Anno Urbis conditae 273, Fabio & Furio Coss. The passage of Xerxes’s army over the Hellespont began in the end of the fourth year of the 74th Olympiad, that is, in June An. J.P. 4234, and took up one month: and in autumn, three months after, on the full moon, the 16th day of the month Munychion, was the battle at Salamis, and a little after than an eclipse of the sun, which by the calculation fell on Octob. 2. His sixth year therefore began a little before June, suppose in spring An. J.P. 4234, and his first year consequently in spring An. J.P. 4229, as above. Now he reigned almost twenty one years, by the consent of all writers. Add the 7 months of Artabanus, and the sum will be 21 years and about four or five months, which end between midsummer and autumn An. J.P. 4250. At this time therefore began the reign of his successor Artaxerxes, as was to be proved.