Finding the Third Proportional to 126,180 and 274,760

Step by Step Solution

1. Step 1: Write the proportion equation
   126,180 : 274,760 = 274,760 : x
2. Step 2: Convert to fraction form
   126,180/274,760 = 274,760/x
3. Step 3: Cross multiply
   126,180x = 274,760 × 274,760
4. Step 4: Simplify right side
   126,180x = 75,493,057,600
5. Step 5: Solve for x
   x = 75,493,057,600/126,180
6. Step 6: Final answer
   x = 598,296.54