Finding the Third Proportional to 239,760 and 399,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   239,760 : 399,541.50 = 399,541.50 : x
2. Step 2: Convert to fraction form
   239,760/399,541.50 = 399,541.50/x
3. Step 3: Cross multiply
   239,760x = 399,541.50 × 399,541.50
4. Step 4: Simplify right side
   239,760x = 159,633,410,222.25
5. Step 5: Solve for x
   x = 159,633,410,222.25/239,760
6. Step 6: Final answer
   x = 665,805.01