Finding the Third Proportional to 60,624 and 132,256

Step by Step Solution

1. Step 1: Write the proportion equation
   60,624 : 132,256 = 132,256 : x
2. Step 2: Convert to fraction form
   60,624/132,256 = 132,256/x
3. Step 3: Cross multiply
   60,624x = 132,256 × 132,256
4. Step 4: Simplify right side
   60,624x = 17,491,649,536
5. Step 5: Solve for x
   x = 17,491,649,536/60,624
6. Step 6: Final answer
   x = 288,526.81