Finding the Third Proportional to 65,710.50 and 142,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,710.50 : 142,909.50 = 142,909.50 : x
2. Step 2: Convert to fraction form
   65,710.50/142,909.50 = 142,909.50/x
3. Step 3: Cross multiply
   65,710.50x = 142,909.50 × 142,909.50
4. Step 4: Simplify right side
   65,710.50x = 20,423,125,190.25
5. Step 5: Solve for x
   x = 20,423,125,190.25/65,710.50
6. Step 6: Final answer
   x = 310,804.59