Finding the Third Proportional to 59,256 and 128,550

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 128,550 = 128,550 : x
2. Step 2: Convert to fraction form
   59,256/128,550 = 128,550/x
3. Step 3: Cross multiply
   59,256x = 128,550 × 128,550
4. Step 4: Simplify right side
   59,256x = 16,525,102,500
5. Step 5: Solve for x
   x = 16,525,102,500/59,256
6. Step 6: Final answer
   x = 278,876.44