Finding the Third Proportional to 82,882 and 127,469

Step by Step Solution

1. Step 1: Write the proportion equation
   82,882 : 127,469 = 127,469 : x
2. Step 2: Convert to fraction form
   82,882/127,469 = 127,469/x
3. Step 3: Cross multiply
   82,882x = 127,469 × 127,469
4. Step 4: Simplify right side
   82,882x = 16,248,345,961
5. Step 5: Solve for x
   x = 16,248,345,961/82,882
6. Step 6: Final answer
   x = 196,041.91