Lexical Definition

‎προσαγορεύω‎ prosagoreúō (pros-ag-or-yoo'-o) to designate ^G:V
from ‎πρός‎ and a derivative of ‎ἀγορά‎ (mean to harangue)

call.

• to address, i.e. salute by name

Abbott-Smith

προσ-αγορεύω, [in LXX: De 23:6 (7) (דָּרַשׁ), II Es 10:11, B:1 (ידה hith.), Wi 14:22, I Mac 14:40, II Mac 1:36 4:7 10:9 14:37*;]
to address, greet, salute; hence, to call by name, address, style: c. dupl. acc., pass., He 5:10.†

Abbott-Smith References

Liddell-Scott-Jones

προσαγορεύω-εύω,

Attic dialect aorist being προσεῖπον, future and perfect προσερῶ, προσείρηκα (but προσαγορεῦσαι occurs in [Refs 5th c.BC+], προσαγορεύσομεν [Refs 5th c.BC+]aorist passive προσερρήθην (but προσηγορεύθην [Refs 4th c.BC+]; coupled with προσείποις, προσρητέον in [Refs 5th c.BC+] {προσαγριαίνω}:—address, greet, ἀλλήλους [Refs 5th c.BC+]; δυστυχοῦντες οὐ προσαγορευόμεθα in misfortune we are not spoken to, [Refs 5th c.BC+]

__2 with double accusative, address or greet as so and so, Δίκαν δέ νιν προσαγορεύομεν βροτοί [Refs 5th c.BC+]:—passive, ὑφ᾽ ὧν προσηγορεύθης ἡ Διὸς δάμαρ [Refs 4th c.BC+]; -αγορευθεὶς αὐτοκράτωρ, Latin imperator consalutatus, [Refs 1st c.AD+]
__3 simply, call by name, call so and so, τὸν Ἀγαμέμνονα π. ποιμένα λαῶν [Refs 5th c.BC+]:— passive, to be called, [Refs 5th c.BC+]; τῷ τοῦ ὅλου ὀνόματι, ἑνὶ ὀν. π., [Refs]
__4 with infinitive, πάσας ἡδονὰς ἀγαθὸν εἶναι προσαγορεύεις [Refs]; π. τινὰ χαίρειν bid one hail or farewell, [Refs 5th c.BC+]
__II appeal to, in argument, τὰ τῶν θηρίων ἤθη uncertain in [Refs 1st c.AD+]