Finding the Third Proportional to 257,718 and 533,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,718 : 533,113.50 = 533,113.50 : x
2. Step 2: Convert to fraction form
   257,718/533,113.50 = 533,113.50/x
3. Step 3: Cross multiply
   257,718x = 533,113.50 × 533,113.50
4. Step 4: Simplify right side
   257,718x = 284,210,003,882.25
5. Step 5: Solve for x
   x = 284,210,003,882.25/257,718
6. Step 6: Final answer
   x = 1,102,794.54