Finding the Third Proportional to 59,976 and 128,256

Step by Step Solution

1. Step 1: Write the proportion equation
   59,976 : 128,256 = 128,256 : x
2. Step 2: Convert to fraction form
   59,976/128,256 = 128,256/x
3. Step 3: Cross multiply
   59,976x = 128,256 × 128,256
4. Step 4: Simplify right side
   59,976x = 16,449,601,536
5. Step 5: Solve for x
   x = 16,449,601,536/59,976
6. Step 6: Final answer
   x = 274,269.73