Finding the Third Proportional to 126,290 and 272,256

Step by Step Solution

1. Step 1: Write the proportion equation
   126,290 : 272,256 = 272,256 : x
2. Step 2: Convert to fraction form
   126,290/272,256 = 272,256/x
3. Step 3: Cross multiply
   126,290x = 272,256 × 272,256
4. Step 4: Simplify right side
   126,290x = 74,123,329,536
5. Step 5: Solve for x
   x = 74,123,329,536/126,290
6. Step 6: Final answer
   x = 586,929.52