To solve for \( a \) given the equation
\[ a = \sqrt[3]{-191.5} \cdot \sqrt[3]{-191.5} \cdot \sqrt[3]{-191.5}, \]
we can simplify the right-hand side.
First, recognize that \( \sqrt[3]{-191.5} \) is the cube root of \(-191.5\). We can denote \( x = \sqrt[3]{-191.5} \). Therefore, we can rewrite \( a \):
\[ a = x \cdot x \cdot x = x^3. \]
Since \( x = \sqrt[3]{-191.5} \), then:
\[ x^3 = \left(\sqrt[3]{-191.5}\right)^3 = -191.5. \]
Thus, we can conclude that:
\[ a = -191.5. \]
So the final answer is:
\[ \boxed{-191.5}. \]