Finding the Third Proportional to 257,868 and 394,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,868 : 394,213.50 = 394,213.50 : x
2. Step 2: Convert to fraction form
   257,868/394,213.50 = 394,213.50/x
3. Step 3: Cross multiply
   257,868x = 394,213.50 × 394,213.50
4. Step 4: Simplify right side
   257,868x = 155,404,283,582.25
5. Step 5: Solve for x
   x = 155,404,283,582.25/257,868
6. Step 6: Final answer
   x = 602,650.52