A negative charge is placed at some point of the joining the two +Q charges at rest . The direction of motion of negative charge will depend upon the:
Force on charge particle due to another charge particle, F=kq1q2d2
Where, d is separation
In this case,
here is 2 positive charges, that attract negativve charge, F=k(−q)Q1d12+k(−q)Q2d22
Hence, The direction of motion of negative charge will depend upon the both on the magnitude and positive of negative charge.