Finding the Third Proportional to 59,616 and 95,256

Step by Step Solution

1. Step 1: Write the proportion equation
   59,616 : 95,256 = 95,256 : x
2. Step 2: Convert to fraction form
   59,616/95,256 = 95,256/x
3. Step 3: Cross multiply
   59,616x = 95,256 × 95,256
4. Step 4: Simplify right side
   59,616x = 9,073,705,536
5. Step 5: Solve for x
   x = 9,073,705,536/59,616
6. Step 6: Final answer
   x = 152,202.52