To solve for the value of \( x \) using the geometric mean, we typically need a situation where the geometric mean is applied between two numbers. The geometric mean is calculated using the formula:
\[ \text{Geometric Mean} = \sqrt{a \times b} \]
In this case, if we had two values \( a \) and \( b \), and we want to find \( x \) such that it fits the geometric mean of those values leading to the given options.
However, since you provided options without specifying the two values, it's hard to determine how to calculate it directly without additional context or specific equations involving \( x \).
If we assume you are looking for \( x \) as the geometric mean of two numbers that we already know or something similar, please provide the numbers or clarify the question a bit more.
If there are two specific numbers related to \( x \) that would allow us to find the answer using the geometric mean, please share those, or clarify your requirement. That information will help me assist you better in finding the value of \( x \) among the responses listed!