Finding the Third Proportional to 257,562 and 394,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,562 : 394,000.50 = 394,000.50 : x
2. Step 2: Convert to fraction form
   257,562/394,000.50 = 394,000.50/x
3. Step 3: Cross multiply
   257,562x = 394,000.50 × 394,000.50
4. Step 4: Simplify right side
   257,562x = 155,236,394,000.25
5. Step 5: Solve for x
   x = 155,236,394,000.25/257,562
6. Step 6: Final answer
   x = 602,714.66