Finding the Third Proportional to 271,359 and 398,912.63

Step by Step Solution

1. Step 1: Write the proportion equation
   271,359 : 398,912.63 = 398,912.63 : x
2. Step 2: Convert to fraction form
   271,359/398,912.63 = 398,912.63/x
3. Step 3: Cross multiply
   271,359x = 398,912.63 × 398,912.63
4. Step 4: Simplify right side
   271,359x = 159,131,282,384.39
5. Step 5: Solve for x
   x = 159,131,282,384.39/271,359
6. Step 6: Final answer
   x = 586,423.46