Finding the Third Proportional to 126,401.25 and 270,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,401.25 : 270,298.50 = 270,298.50 : x
2. Step 2: Convert to fraction form
   126,401.25/270,298.50 = 270,298.50/x
3. Step 3: Cross multiply
   126,401.25x = 270,298.50 × 270,298.50
4. Step 4: Simplify right side
   126,401.25x = 73,061,279,102.25
5. Step 5: Solve for x
   x = 73,061,279,102.25/126,401.25
6. Step 6: Final answer
   x = 578,010.73