Finding the Third Proportional to 227,854 and 498,598

Step by Step Solution

1. Step 1: Write the proportion equation
   227,854 : 498,598 = 498,598 : x
2. Step 2: Convert to fraction form
   227,854/498,598 = 498,598/x
3. Step 3: Cross multiply
   227,854x = 498,598 × 498,598
4. Step 4: Simplify right side
   227,854x = 248,599,965,604
5. Step 5: Solve for x
   x = 248,599,965,604/227,854
6. Step 6: Final answer
   x = 1,091,049.38