Finding the Third Proportional to 271,434 and 399,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,434 : 399,256.50 = 399,256.50 : x
2. Step 2: Convert to fraction form
   271,434/399,256.50 = 399,256.50/x
3. Step 3: Cross multiply
   271,434x = 399,256.50 × 399,256.50
4. Step 4: Simplify right side
   271,434x = 159,405,752,792.25
5. Step 5: Solve for x
   x = 159,405,752,792.25/271,434
6. Step 6: Final answer
   x = 587,272.61