Finding the Third Proportional to 271,353 and 398,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,353 : 398,898.50 = 398,898.50 : x
2. Step 2: Convert to fraction form
   271,353/398,898.50 = 398,898.50/x
3. Step 3: Cross multiply
   271,353x = 398,898.50 × 398,898.50
4. Step 4: Simplify right side
   271,353x = 159,120,013,302.25
5. Step 5: Solve for x
   x = 159,120,013,302.25/271,353
6. Step 6: Final answer
   x = 586,394.89