Finding the Third Proportional to 258,209.25 and 394,746

Step by Step Solution

1. Step 1: Write the proportion equation
   258,209.25 : 394,746 = 394,746 : x
2. Step 2: Convert to fraction form
   258,209.25/394,746 = 394,746/x
3. Step 3: Cross multiply
   258,209.25x = 394,746 × 394,746
4. Step 4: Simplify right side
   258,209.25x = 155,824,404,516
5. Step 5: Solve for x
   x = 155,824,404,516/258,209.25
6. Step 6: Final answer
   x = 603,481.11