Consider the following reactions in which all the reactants and products are present in gaseous state 2 x y ⇌ x_2+y_2 K_1=2.5 × 10^5; x y+1/2 z_2 ⇌ x…

Consider the following reactions in which all the reactants and products are present in gaseous state $$\begin{aligned} & 2 x y \rightleftharpoons x_2+y_2 \mathrm{~K}_1=2.5 \times 10^5 \\ & x y+\frac{1}{2} z_2 \rightleftharpoons x y z \mathrm{~K}_2=5 \times 10^{-3} \end{aligned} $$ The value of $\displaystyle \mathrm{K}_3$ for the equilibrium $\displaystyle \frac{1}{2} x_2+\frac{1}{2} y_2+\frac{1}{2} z_2 \rightleftharpoons x y z$ is :