Finding the Third Proportional to 257,530 and 378,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,530 : 378,849.50 = 378,849.50 : x
2. Step 2: Convert to fraction form
   257,530/378,849.50 = 378,849.50/x
3. Step 3: Cross multiply
   257,530x = 378,849.50 × 378,849.50
4. Step 4: Simplify right side
   257,530x = 143,526,943,650.25
5. Step 5: Solve for x
   x = 143,526,943,650.25/257,530
6. Step 6: Final answer
   x = 557,321.26