Finding the Third Proportional to 65,255.75 and 142,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,255.75 : 142,496.50 = 142,496.50 : x
2. Step 2: Convert to fraction form
   65,255.75/142,496.50 = 142,496.50/x
3. Step 3: Cross multiply
   65,255.75x = 142,496.50 × 142,496.50
4. Step 4: Simplify right side
   65,255.75x = 20,305,252,512.25
5. Step 5: Solve for x
   x = 20,305,252,512.25/65,255.75
6. Step 6: Final answer
   x = 311,164.19