Finding the Third Proportional to 227,766 and 498,434

Step by Step Solution

1. Step 1: Write the proportion equation
   227,766 : 498,434 = 498,434 : x
2. Step 2: Convert to fraction form
   227,766/498,434 = 498,434/x
3. Step 3: Cross multiply
   227,766x = 498,434 × 498,434
4. Step 4: Simplify right side
   227,766x = 248,436,452,356
5. Step 5: Solve for x
   x = 248,436,452,356/227,766
6. Step 6: Final answer
   x = 1,090,753.02