Finding the Third Proportional to 82,596 and 131,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,596 : 131,278.50 = 131,278.50 : x
2. Step 2: Convert to fraction form
   82,596/131,278.50 = 131,278.50/x
3. Step 3: Cross multiply
   82,596x = 131,278.50 × 131,278.50
4. Step 4: Simplify right side
   82,596x = 17,234,044,562.25
5. Step 5: Solve for x
   x = 17,234,044,562.25/82,596
6. Step 6: Final answer
   x = 208,654.71