Finding the Third Proportional to 271,639 and 413,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,639 : 413,310.50 = 413,310.50 : x
2. Step 2: Convert to fraction form
   271,639/413,310.50 = 413,310.50/x
3. Step 3: Cross multiply
   271,639x = 413,310.50 × 413,310.50
4. Step 4: Simplify right side
   271,639x = 170,825,569,410.25
5. Step 5: Solve for x
   x = 170,825,569,410.25/271,639
6. Step 6: Final answer
   x = 628,869.82