Finding the Third Proportional to 257,892.50 and 394,249

Step by Step Solution

1. Step 1: Write the proportion equation
   257,892.50 : 394,249 = 394,249 : x
2. Step 2: Convert to fraction form
   257,892.50/394,249 = 394,249/x
3. Step 3: Cross multiply
   257,892.50x = 394,249 × 394,249
4. Step 4: Simplify right side
   257,892.50x = 155,432,274,001
5. Step 5: Solve for x
   x = 155,432,274,001/257,892.50
6. Step 6: Final answer
   x = 602,701.80