Finding the Third Proportional to 91,747 and 129,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,747 : 129,196.50 = 129,196.50 : x
2. Step 2: Convert to fraction form
   91,747/129,196.50 = 129,196.50/x
3. Step 3: Cross multiply
   91,747x = 129,196.50 × 129,196.50
4. Step 4: Simplify right side
   91,747x = 16,691,735,612.25
5. Step 5: Solve for x
   x = 16,691,735,612.25/91,747
6. Step 6: Final answer
   x = 181,932.22