Finding the Third Proportional to 82,505.50 and 128,686

Step by Step Solution

1. Step 1: Write the proportion equation
   82,505.50 : 128,686 = 128,686 : x
2. Step 2: Convert to fraction form
   82,505.50/128,686 = 128,686/x
3. Step 3: Cross multiply
   82,505.50x = 128,686 × 128,686
4. Step 4: Simplify right side
   82,505.50x = 16,560,086,596
5. Step 5: Solve for x
   x = 16,560,086,596/82,505.50
6. Step 6: Final answer
   x = 200,714.94