Step 1 :Write the equation in its equivalent exponential form: $\log _{b} 216=3$
Step 2 :Use the formula $\log_{b}a = c$ is equivalent to $b^c = a$, where $b$ is the base, $216$ is the value of $a$, and $3$ is the value of $c$
Step 3 :Calculate the base: $b^3 = 216$
Step 4 :\(\boxed{b^{3}=216}\)