Finding the Third Proportional to 65,257.50 and 142,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,257.50 : 142,498.50 = 142,498.50 : x
2. Step 2: Convert to fraction form
   65,257.50/142,498.50 = 142,498.50/x
3. Step 3: Cross multiply
   65,257.50x = 142,498.50 × 142,498.50
4. Step 4: Simplify right side
   65,257.50x = 20,305,822,502.25
5. Step 5: Solve for x
   x = 20,305,822,502.25/65,257.50
6. Step 6: Final answer
   x = 311,164.58