Finding the Third Proportional to 126,120 and 270,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,120 : 270,829.50 = 270,829.50 : x
2. Step 2: Convert to fraction form
   126,120/270,829.50 = 270,829.50/x
3. Step 3: Cross multiply
   126,120x = 270,829.50 × 270,829.50
4. Step 4: Simplify right side
   126,120x = 73,348,618,070.25
5. Step 5: Solve for x
   x = 73,348,618,070.25/126,120
6. Step 6: Final answer
   x = 581,578.01