Lexical Definition

‎εὐοδόω‎ euodóō (yoo-od-o'-o) to get along well ^G:V
from a compound of ‎εὖ‎ and ‎ὁδός‎

(have a) prosper(-ous journey).

• to help on the road, i.e. (passively) succeed in reaching
• figuratively, to succeed in business affairs

Abbott-Smith

εὐ-οδόω, -ῶ (< ὁδός), [in LXX chiefly for צָלַח hi. ;]
to help on one's way (Soph., al.). Pass., to have a prosperous journey; metaph. (Hdt., al.), to prosper, be prospered, be successful: III Jo 2, Ro 1:10, I Co 16:2 (on the tense, v. M, Pr., 54; ICC, in l.).†

Abbott-Smith References

Liddell-Scott-Jones

εὐοδόω-όω,

help on the way, with dative person, σφῷν δ᾽ εὐοδόωοίη Ζεύς [Refs 5th c.BC+]: with accusative person, [εὐοδόωοῦν 4th-3rd c.BC: Theophrastus Philosophus “de Causis Plantarum” 5.6.7. ">LXX+4th c.BC+]

__2 passive, have a prosperous journey, [LXX+NT]; of things, prosper, be successful, ὡς Κλεομένεϊ εὐωδώθη τὸ πρῆγμα see reading in [Refs 5th c.BC+]; θησαυρίζων ὅ τι ἂν εὐοδόωῶται, ={εὐπορῇ}, [NT]

_{LSJ Scripture Refs: LXX.Gen.24.27 ☩ LXX.Dan.8.11 ☩ Rom.1.10 ☩ 1Cor.16.2 ☩ Acts.11.29}