Finding the Third Proportional to 82,320 and 124,080

Step by Step Solution

1. Step 1: Write the proportion equation
   82,320 : 124,080 = 124,080 : x
2. Step 2: Convert to fraction form
   82,320/124,080 = 124,080/x
3. Step 3: Cross multiply
   82,320x = 124,080 × 124,080
4. Step 4: Simplify right side
   82,320x = 15,395,846,400
5. Step 5: Solve for x
   x = 15,395,846,400/82,320
6. Step 6: Final answer
   x = 187,024.37