Finding the Third Proportional to 82,901 and 131,469

Step by Step Solution

1. Step 1: Write the proportion equation
   82,901 : 131,469 = 131,469 : x
2. Step 2: Convert to fraction form
   82,901/131,469 = 131,469/x
3. Step 3: Cross multiply
   82,901x = 131,469 × 131,469
4. Step 4: Simplify right side
   82,901x = 17,284,097,961
5. Step 5: Solve for x
   x = 17,284,097,961/82,901
6. Step 6: Final answer
   x = 208,490.83