1728 ÷ 3 262144 \, × \,?\, - 288 = 4491

Answer: Option D

$$\begin{array}{rl}& =262144\\ & =8\times 8\times 8\times 8\times 8\times 8\\ & =8^6\\ & \therefore \text{root}3\text{of}262144\\ & =8^2\\ & =64\\ & \text{Let, }\\ & \text{1728}÷\text{root}3\text{of}262144\times x-288=4491\\ & \text{Then,}\\ & \iff 1728÷64\times x-288=4491\\ & \iff 27x=4779\\ & \iff x=\frac{4779}{27}\\ & \iff x=177\end{array}$$

$$\begin{array}{rl}& 8|262144\\ & --------\\ & 8|32768\\ & --------\\ & 8|4096\\ & --------\\ & 8|512\\ & --------\\ & 8|64\\ & --------\\ & 8|8\\ & --------\end{array}$$