Consider the following equilibrium,
$$
2 \text{NO}(g) \rightleftharpoons \text{N}_2 (g) + \text{O}_2 (g); K_1 = 2.4 \times 10^{20}
$$
$$
\text{NO}(g) + \frac{1}{2} \text{Br}_2 (g) \rightleftharpoons \text{NOBr}(g); K_2 = 1.4
$$
Calculate $ K_C $ for the reaction,
$$
\frac{1}{2} \text{N}_2 (g) + \frac{1}{2} \text{O}_2 (g) + \frac{1}{2} \text{Br}_2 (g) \rightleftharpoons \text{NOBr}(g)
$$