Finding the Third Proportional to 126,144 and 275,508

Step by Step Solution

1. Step 1: Write the proportion equation
   126,144 : 275,508 = 275,508 : x
2. Step 2: Convert to fraction form
   126,144/275,508 = 275,508/x
3. Step 3: Cross multiply
   126,144x = 275,508 × 275,508
4. Step 4: Simplify right side
   126,144x = 75,904,658,064
5. Step 5: Solve for x
   x = 75,904,658,064/126,144
6. Step 6: Final answer
   x = 601,730.23