Answer
+2N, rightwards
Work Step by Step
F1 = -5N, F2 = +3N, F3 = ?
The center of mass is stationary, thus the net external force on the system is zero:
F1 + F2 + F3 = 0
-5N + 3N + F3 = 0
F3 = 2N
Hence, a force of 2N is acting on the third particle in the right direction.