Finding the Third Proportional to 87,525 and 132,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,525 : 132,322.50 = 132,322.50 : x
2. Step 2: Convert to fraction form
   87,525/132,322.50 = 132,322.50/x
3. Step 3: Cross multiply
   87,525x = 132,322.50 × 132,322.50
4. Step 4: Simplify right side
   87,525x = 17,509,244,006.25
5. Step 5: Solve for x
   x = 17,509,244,006.25/87,525
6. Step 6: Final answer
   x = 200,048.49