Finding the Third Proportional to 132,540 and 200,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,540 : 200,737.50 = 200,737.50 : x
2. Step 2: Convert to fraction form
   132,540/200,737.50 = 200,737.50/x
3. Step 3: Cross multiply
   132,540x = 200,737.50 × 200,737.50
4. Step 4: Simplify right side
   132,540x = 40,295,543,906.25
5. Step 5: Solve for x
   x = 40,295,543,906.25/132,540
6. Step 6: Final answer
   x = 304,025.53