Finding the Third Proportional to 91,665 and 192,555

Step by Step Solution

1. Step 1: Write the proportion equation
   91,665 : 192,555 = 192,555 : x
2. Step 2: Convert to fraction form
   91,665/192,555 = 192,555/x
3. Step 3: Cross multiply
   91,665x = 192,555 × 192,555
4. Step 4: Simplify right side
   91,665x = 37,077,428,025
5. Step 5: Solve for x
   x = 37,077,428,025/91,665
6. Step 6: Final answer
   x = 404,488.39