Finding the Third Proportional to 257,592.50 and 394,038

Step by Step Solution

1. Step 1: Write the proportion equation
   257,592.50 : 394,038 = 394,038 : x
2. Step 2: Convert to fraction form
   257,592.50/394,038 = 394,038/x
3. Step 3: Cross multiply
   257,592.50x = 394,038 × 394,038
4. Step 4: Simplify right side
   257,592.50x = 155,265,945,444
5. Step 5: Solve for x
   x = 155,265,945,444/257,592.50
6. Step 6: Final answer
   x = 602,758.02