Lexical Definition

‎ἐξαπορέομαι‎ exaporéomai (ex-ap-or-eh'-om-ahee) to despair ^G:V
middle voice from ‎ἐκ‎ and ‎ἀπορέω‎

(in) despair.

• to be utterly at a loss, i.e. despond

Abbott-Smith

† ἐξ-απορέω, -ῶ [in LXX, pass., for פּוּן, Ps 87(88):15* * ;]
so in NT, depon. pass., to be utterly at a loss, be in despair: absol. (as Ps, l.c.), II Co 4:8; τοῦ ζῆν, II Co 1:8.†

Abbott-Smith References

Liddell-Scott-Jones

ἐξαπορέω,

strengthened for ἀπορέω, to be in great doubt or difficulty, [Refs 4th c.BC+]:—middle, ἀπορούμενοι, ἀλλ᾽ οὐκ ἐ. [NT]: so in aorist passive ἐξηπορήθην [LXX+1st c.BC+]; ἐξαπορηθῆναι ἀργυρίον to be without money, [Refs 3rd c.BC+]

_{LSJ Scripture Refs: 2Cor.4.8 ☩ LXX.Ps.87.15*}