Finding the Third Proportional to 140,146.50 and 329,015.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,146.50 : 329,015.25 = 329,015.25 : x
2. Step 2: Convert to fraction form
   140,146.50/329,015.25 = 329,015.25/x
3. Step 3: Cross multiply
   140,146.50x = 329,015.25 × 329,015.25
4. Step 4: Simplify right side
   140,146.50x = 108,251,034,732.56
5. Step 5: Solve for x
   x = 108,251,034,732.56/140,146.50
6. Step 6: Final answer
   x = 772,413.40