Finding the Third Proportional to 82,416 and 124,008

Step by Step Solution

1. Step 1: Write the proportion equation
   82,416 : 124,008 = 124,008 : x
2. Step 2: Convert to fraction form
   82,416/124,008 = 124,008/x
3. Step 3: Cross multiply
   82,416x = 124,008 × 124,008
4. Step 4: Simplify right side
   82,416x = 15,377,984,064
5. Step 5: Solve for x
   x = 15,377,984,064/82,416
6. Step 6: Final answer
   x = 186,589.79