Finding the Third Proportional to 82,769 and 131,525

Step by Step Solution

1. Step 1: Write the proportion equation
   82,769 : 131,525 = 131,525 : x
2. Step 2: Convert to fraction form
   82,769/131,525 = 131,525/x
3. Step 3: Cross multiply
   82,769x = 131,525 × 131,525
4. Step 4: Simplify right side
   82,769x = 17,298,825,625
5. Step 5: Solve for x
   x = 17,298,825,625/82,769
6. Step 6: Final answer
   x = 209,001.26