Finding the Third Proportional to 87,509 and 132,065

Step by Step Solution

1. Step 1: Write the proportion equation
   87,509 : 132,065 = 132,065 : x
2. Step 2: Convert to fraction form
   87,509/132,065 = 132,065/x
3. Step 3: Cross multiply
   87,509x = 132,065 × 132,065
4. Step 4: Simplify right side
   87,509x = 17,441,164,225
5. Step 5: Solve for x
   x = 17,441,164,225/87,509
6. Step 6: Final answer
   x = 199,307.09