As, the ring is in rest, the net force acting on the ring will be zero.
Hence, the x component of force will be zero. Therefore,

Therefore the x componet of F3 is given as,

Substituting all known values,

Therefore, the x component F3 is 56.15 N.
The y-component of F3 is given as,

Therefore,

Therefore, y-component of F3 is -116.88 N (which shows that F3 is in downward direction).