Finding the Third Proportional to 257,580 and 394,017.75

Step by Step Solution

1. Step 1: Write the proportion equation
   257,580 : 394,017.75 = 394,017.75 : x
2. Step 2: Convert to fraction form
   257,580/394,017.75 = 394,017.75/x
3. Step 3: Cross multiply
   257,580x = 394,017.75 × 394,017.75
4. Step 4: Simplify right side
   257,580x = 155,249,987,315.06
5. Step 5: Solve for x
   x = 155,249,987,315.06/257,580
6. Step 6: Final answer
   x = 602,725.32