Finding the Third Proportional to 126,229 and 272,142

Step by Step Solution

1. Step 1: Write the proportion equation
   126,229 : 272,142 = 272,142 : x
2. Step 2: Convert to fraction form
   126,229/272,142 = 272,142/x
3. Step 3: Cross multiply
   126,229x = 272,142 × 272,142
4. Step 4: Simplify right side
   126,229x = 74,061,268,164
5. Step 5: Solve for x
   x = 74,061,268,164/126,229
6. Step 6: Final answer
   x = 586,721.50