Finding the Third Proportional to 257,763 and 394,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,763 : 394,348.50 = 394,348.50 : x
2. Step 2: Convert to fraction form
   257,763/394,348.50 = 394,348.50/x
3. Step 3: Cross multiply
   257,763x = 394,348.50 × 394,348.50
4. Step 4: Simplify right side
   257,763x = 155,510,739,452.25
5. Step 5: Solve for x
   x = 155,510,739,452.25/257,763
6. Step 6: Final answer
   x = 603,309.01