Finding the Third Proportional to 257,065 and 557,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,065 : 557,033.50 = 557,033.50 : x
2. Step 2: Convert to fraction form
   257,065/557,033.50 = 557,033.50/x
3. Step 3: Cross multiply
   257,065x = 557,033.50 × 557,033.50
4. Step 4: Simplify right side
   257,065x = 310,286,320,122.25
5. Step 5: Solve for x
   x = 310,286,320,122.25/257,065
6. Step 6: Final answer
   x = 1,207,034.49