Finding the Third Proportional to 257,716 and 533,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,716 : 533,110.50 = 533,110.50 : x
2. Step 2: Convert to fraction form
   257,716/533,110.50 = 533,110.50/x
3. Step 3: Cross multiply
   257,716x = 533,110.50 × 533,110.50
4. Step 4: Simplify right side
   257,716x = 284,206,805,210.25
5. Step 5: Solve for x
   x = 284,206,805,210.25/257,716
6. Step 6: Final answer
   x = 1,102,790.69