Finding the Third Proportional to 271,408 and 399,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,408 : 399,217.50 = 399,217.50 : x
2. Step 2: Convert to fraction form
   271,408/399,217.50 = 399,217.50/x
3. Step 3: Cross multiply
   271,408x = 399,217.50 × 399,217.50
4. Step 4: Simplify right side
   271,408x = 159,374,612,306.25
5. Step 5: Solve for x
   x = 159,374,612,306.25/271,408
6. Step 6: Final answer
   x = 587,214.13