Finding the Third Proportional to 82,304 and 126,872

Step by Step Solution

1. Step 1: Write the proportion equation
   82,304 : 126,872 = 126,872 : x
2. Step 2: Convert to fraction form
   82,304/126,872 = 126,872/x
3. Step 3: Cross multiply
   82,304x = 126,872 × 126,872
4. Step 4: Simplify right side
   82,304x = 16,096,504,384
5. Step 5: Solve for x
   x = 16,096,504,384/82,304
6. Step 6: Final answer
   x = 195,573.78