Finding the Third Proportional to 126,384 and 270,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,384 : 270,019.50 = 270,019.50 : x
2. Step 2: Convert to fraction form
   126,384/270,019.50 = 270,019.50/x
3. Step 3: Cross multiply
   126,384x = 270,019.50 × 270,019.50
4. Step 4: Simplify right side
   126,384x = 72,910,530,380.25
5. Step 5: Solve for x
   x = 72,910,530,380.25/126,384
6. Step 6: Final answer
   x = 576,896.84