Unpolarized light passes through three polarizing filters. The first filter has its transmission axis parallel to the z direction, the second has its transmission axis at an angle of $30\mathrm{.}0$ from the z direction, and the third has its transmission axis at an angle of $60\mathrm{.}0$ from the z direction. If the light that emerges from the third filter has an intensity of $773\mathrm{.}0$ W$/$m$2,$ what is the original intensity of the light? $($Assume both angles are measured in the same direction from the $+$z axis.$)$