Regressing Both Ways

Two variables have $\sigma_X = 2$, $\sigma_Y = 5$ and correlation $\rho = 0.6$. Let $\beta_{Y|X}$ be the OLS slope from regressing $Y$ on $X$ and $\beta_{X|Y}$ the slope from regressing $X$ on $Y$ (both with intercepts, population values).

Compute $\beta_{Y|X} \cdot \beta_{X|Y}$.