Finding the Third Proportional to 126,742.50 and 275,382

Step by Step Solution

1. Step 1: Write the proportion equation
   126,742.50 : 275,382 = 275,382 : x
2. Step 2: Convert to fraction form
   126,742.50/275,382 = 275,382/x
3. Step 3: Cross multiply
   126,742.50x = 275,382 × 275,382
4. Step 4: Simplify right side
   126,742.50x = 75,835,245,924
5. Step 5: Solve for x
   x = 75,835,245,924/126,742.50
6. Step 6: Final answer
   x = 598,341.09