Finding the Third Proportional to 126,256 and 272,096

Step by Step Solution

1. Step 1: Write the proportion equation
   126,256 : 272,096 = 272,096 : x
2. Step 2: Convert to fraction form
   126,256/272,096 = 272,096/x
3. Step 3: Cross multiply
   126,256x = 272,096 × 272,096
4. Step 4: Simplify right side
   126,256x = 74,036,233,216
5. Step 5: Solve for x
   x = 74,036,233,216/126,256
6. Step 6: Final answer
   x = 586,397.74