Finding the Third Proportional to 82,522 and 128,713

Step by Step Solution

1. Step 1: Write the proportion equation
   82,522 : 128,713 = 128,713 : x
2. Step 2: Convert to fraction form
   82,522/128,713 = 128,713/x
3. Step 3: Cross multiply
   82,522x = 128,713 × 128,713
4. Step 4: Simplify right side
   82,522x = 16,567,036,369
5. Step 5: Solve for x
   x = 16,567,036,369/82,522
6. Step 6: Final answer
   x = 200,759.03