Finding the Third Proportional to 82,877 and 131,441

Step by Step Solution

1. Step 1: Write the proportion equation
   82,877 : 131,441 = 131,441 : x
2. Step 2: Convert to fraction form
   82,877/131,441 = 131,441/x
3. Step 3: Cross multiply
   82,877x = 131,441 × 131,441
4. Step 4: Simplify right side
   82,877x = 17,276,736,481
5. Step 5: Solve for x
   x = 17,276,736,481/82,877
6. Step 6: Final answer
   x = 208,462.38