Finding the Third Proportional to 65,255.25 and 142,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,255.25 : 142,495.50 = 142,495.50 : x
2. Step 2: Convert to fraction form
   65,255.25/142,495.50 = 142,495.50/x
3. Step 3: Cross multiply
   65,255.25x = 142,495.50 × 142,495.50
4. Step 4: Simplify right side
   65,255.25x = 20,304,967,520.25
5. Step 5: Solve for x
   x = 20,304,967,520.25/65,255.25
6. Step 6: Final answer
   x = 311,162.21