Finding the Third Proportional to 257,856 and 394,195.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,856 : 394,195.50 = 394,195.50 : x
2. Step 2: Convert to fraction form
   257,856/394,195.50 = 394,195.50/x
3. Step 3: Cross multiply
   257,856x = 394,195.50 × 394,195.50
4. Step 4: Simplify right side
   257,856x = 155,390,092,220.25
5. Step 5: Solve for x
   x = 155,390,092,220.25/257,856
6. Step 6: Final answer
   x = 602,623.53