Finding the Third Proportional to 82,771 and 131,528

Step by Step Solution

1. Step 1: Write the proportion equation
   82,771 : 131,528 = 131,528 : x
2. Step 2: Convert to fraction form
   82,771/131,528 = 131,528/x
3. Step 3: Cross multiply
   82,771x = 131,528 × 131,528
4. Step 4: Simplify right side
   82,771x = 17,299,614,784
5. Step 5: Solve for x
   x = 17,299,614,784/82,771
6. Step 6: Final answer
   x = 209,005.75