Finding the Third Proportional to 257,565 and 394,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,565 : 394,004.50 = 394,004.50 : x
2. Step 2: Convert to fraction form
   257,565/394,004.50 = 394,004.50/x
3. Step 3: Cross multiply
   257,565x = 394,004.50 × 394,004.50
4. Step 4: Simplify right side
   257,565x = 155,239,546,020.25
5. Step 5: Solve for x
   x = 155,239,546,020.25/257,565
6. Step 6: Final answer
   x = 602,719.88