Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
By the sending back of the Achaean hostages(27) he was restored to his home, where he thenceforth acted as permanent mediator between his confederacy and the Romans.
27. Cf. IV. I. Greece
He was present at the destruction of Carthage and of Corinth (608). He seemed educated, as it were, by destiny to comprehend the historical position of Rome more clearly than the Romans of that day could themselves. From the place which he occupied, a Greek statesman and a Roman prisoner, esteemed and occasionally envied for his Greek culture by Scipio Aemilianus and the first men of Rome generally, he saw the streams, which had so long flowed separately, meet together in the same channel and the history of the states of the Mediterranean resolve itself into the hegemony of Roman power and Greek culture.
Thus Polybius became the first Greek of note, who embraced with serious conviction the comprehensive view of the Scipionic circle, and recognized the superiority of Hellenism in the sphere of intellect and of the Roman character in the sphere of politics as facts, regarding which history had given her final decision, and to which people on both sides were entitled and bound to submit. In this spirit he acted as a practical statesman, and wrote his history.
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Reference address : https://www.ellopos.net/elpenor/rome/4-13-literature-art.asp?pg=38