Finding the Third Proportional to 257,910.50 and 394,498

Step by Step Solution

1. Step 1: Write the proportion equation
   257,910.50 : 394,498 = 394,498 : x
2. Step 2: Convert to fraction form
   257,910.50/394,498 = 394,498/x
3. Step 3: Cross multiply
   257,910.50x = 394,498 × 394,498
4. Step 4: Simplify right side
   257,910.50x = 155,628,672,004
5. Step 5: Solve for x
   x = 155,628,672,004/257,910.50
6. Step 6: Final answer
   x = 603,421.23