προάγω fut. άξω perf. -ῆχα aor2 -ήγαγον Pass., aor1 -ήχθην perf. -ῆγμαι to lead forward, on, onward, Hdt., etc.: to escort on their way, Hdt., Xen. to bring forward in public, Plat. to lead on, induce, Hdt., Thuc.; c. inf., πρ. τινὰ κινδυνεύειν Thuc.; with Preps., πρ. θυμὸν ἐς ἀμπλακίην Theogn.; τινὰ εἰς φιλοποσίαν, εἰς μῖσος Xen.; ἐπʼ ἀρετήν Xen.:—so in Mid., ἐς γέλωτα προαγαγέσθαι τινά to move one to laughter, Hdt.; εἰς ἀνάγκην Dem. to carry on or forward, πρ. τὴν πόλιν to lead it on to power, Thuc.; μέχρι πόρρω προήγαγον τὴν ἔχθραν carried it so far, Dem.:—Pass. to increase, wax, Dem. of persons, to promote or prefer to honour, Plut. perf. pass. with mid. sense, προῆκται παῖδας οὕτω ὥστε . . , has had them brought up in such a way that . . , Dem.; but also in pass. sense, τοῖς ἔθεσι προηγμένοι Arist. intr. to lead the way, go before, advance, Plat., Xen., etc.:—an acc. added, to go before one, NTest.