Finding the Third Proportional to 65,477.25 and 142,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,477.25 : 142,951.50 = 142,951.50 : x
2. Step 2: Convert to fraction form
   65,477.25/142,951.50 = 142,951.50/x
3. Step 3: Cross multiply
   65,477.25x = 142,951.50 × 142,951.50
4. Step 4: Simplify right side
   65,477.25x = 20,435,131,352.25
5. Step 5: Solve for x
   x = 20,435,131,352.25/65,477.25
6. Step 6: Final answer
   x = 312,095.14