Finding the Third Proportional to 257,913 and 394,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,913 : 394,501.50 = 394,501.50 : x
2. Step 2: Convert to fraction form
   257,913/394,501.50 = 394,501.50/x
3. Step 3: Cross multiply
   257,913x = 394,501.50 × 394,501.50
4. Step 4: Simplify right side
   257,913x = 155,631,433,502.25
5. Step 5: Solve for x
   x = 155,631,433,502.25/257,913
6. Step 6: Final answer
   x = 603,426.09