Finding the Third Proportional to 271,365 and 398,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,365 : 398,920.50 = 398,920.50 : x
2. Step 2: Convert to fraction form
   271,365/398,920.50 = 398,920.50/x
3. Step 3: Cross multiply
   271,365x = 398,920.50 × 398,920.50
4. Step 4: Simplify right side
   271,365x = 159,137,565,320.25
5. Step 5: Solve for x
   x = 159,137,565,320.25/271,365
6. Step 6: Final answer
   x = 586,433.64