Can u solve this please? If 1/y+z, 1/z+x, 1/x+y are in AP Then show that ?x^2 y^2 z?^2 in AP

here , 1/x+z - 1/y+z = 1/x+y - 1/z+x

 

So , y-x / y+z = z-y / x+y

 

On cross multiplying we get ,

 

x² + z² = 2y²