Lexical Definition

‎προγινώσκω‎ proginṓskō (prog-in-oce'-ko) to know/choose ^G:V
from ‎πρό‎ and ‎γινώσκω‎

foreknow (ordain), know (before).

• to know beforehand, i.e. foresee

Abbott-Smith

** προ-γινώσκω, [in LXX: Wi 6:13 8:8 18:6*;]
to know beforehand, foreknow: II Pe 3:17; c. acc. pers., Ac 26:5; of the Divine foreknowledge, Ro 8:29 11:2, I Pe 1:20.†

Abbott-Smith References

Liddell-Scott-Jones

προγινώσκω,

Ionic dialect and later προγεωργ-γῑνώσκω: future -γνώσομαι: Epic dialect aorist infinitive προγνώμεναι [Refs]:—know, perceive, learn, or understand beforehand, τι [same place]; τὰ στοιχεῖα [Refs 5th c.BC+]:—in Medicine texts, know before being told, declare unaided, τά τε παρεόντα καὶ τὰ προγεγονότα καὶ τὰ μέλλοντα ἔσεσθαι [Refs 5th c.BC+]

__2 prognosticate, π. χειμῶνα αἱ μέλιτται [Refs 4th c.BC+]
__3 foreknow, λαόν [NT]
__4 with genitive, π. τῶν θεῶν learn things in advance of.., [Refs 2nd c.AD+]
__II judge beforehand, ἐς τὸ μέλλον καλὸν π. [Refs 5th c.BC+]; provide, τι [Refs 5th c.BC+] —passive, παρὰ τῷ διαιτητῇ προεγνωσμένος ἀδικεῖν judged beforehand to have done wrong, [Refs 4th c.BC+]

_{LSJ Scripture Refs: Rom.11.2}