Finding the Third Proportional to 65,180.25 and 142,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,180.25 : 142,816.50 = 142,816.50 : x
2. Step 2: Convert to fraction form
   65,180.25/142,816.50 = 142,816.50/x
3. Step 3: Cross multiply
   65,180.25x = 142,816.50 × 142,816.50
4. Step 4: Simplify right side
   65,180.25x = 20,396,552,672.25
5. Step 5: Solve for x
   x = 20,396,552,672.25/65,180.25
6. Step 6: Final answer
   x = 312,925.35