Finding the Third Proportional to 257,589 and 339,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,589 : 339,535.50 = 339,535.50 : x
2. Step 2: Convert to fraction form
   257,589/339,535.50 = 339,535.50/x
3. Step 3: Cross multiply
   257,589x = 339,535.50 × 339,535.50
4. Step 4: Simplify right side
   257,589x = 115,284,355,760.25
5. Step 5: Solve for x
   x = 115,284,355,760.25/257,589
6. Step 6: Final answer
   x = 447,551.55