Finding the Third Proportional to 82,320 and 125,256

Step by Step Solution

1. Step 1: Write the proportion equation
   82,320 : 125,256 = 125,256 : x
2. Step 2: Convert to fraction form
   82,320/125,256 = 125,256/x
3. Step 3: Cross multiply
   82,320x = 125,256 × 125,256
4. Step 4: Simplify right side
   82,320x = 15,689,065,536
5. Step 5: Solve for x
   x = 15,689,065,536/82,320
6. Step 6: Final answer
   x = 190,586.32