Finding the Third Proportional to 82,791 and 131,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,791 : 131,152.50 = 131,152.50 : x
2. Step 2: Convert to fraction form
   82,791/131,152.50 = 131,152.50/x
3. Step 3: Cross multiply
   82,791x = 131,152.50 × 131,152.50
4. Step 4: Simplify right side
   82,791x = 17,200,978,256.25
5. Step 5: Solve for x
   x = 17,200,978,256.25/82,791
6. Step 6: Final answer
   x = 207,763.87