Finding the Third Proportional to 81,976 and 126,182

Step by Step Solution

1. Step 1: Write the proportion equation
   81,976 : 126,182 = 126,182 : x
2. Step 2: Convert to fraction form
   81,976/126,182 = 126,182/x
3. Step 3: Cross multiply
   81,976x = 126,182 × 126,182
4. Step 4: Simplify right side
   81,976x = 15,921,897,124
5. Step 5: Solve for x
   x = 15,921,897,124/81,976
6. Step 6: Final answer
   x = 194,226.32