Finding the Third Proportional to 54,256 and 126,760

Step by Step Solution

1. Step 1: Write the proportion equation
   54,256 : 126,760 = 126,760 : x
2. Step 2: Convert to fraction form
   54,256/126,760 = 126,760/x
3. Step 3: Cross multiply
   54,256x = 126,760 × 126,760
4. Step 4: Simplify right side
   54,256x = 16,068,097,600
5. Step 5: Solve for x
   x = 16,068,097,600/54,256
6. Step 6: Final answer
   x = 296,153.38