Finding the Third Proportional to 103,638 and 227,004

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 227,004 = 227,004 : x
2. Step 2: Convert to fraction form
   103,638/227,004 = 227,004/x
3. Step 3: Cross multiply
   103,638x = 227,004 × 227,004
4. Step 4: Simplify right side
   103,638x = 51,530,816,016
5. Step 5: Solve for x
   x = 51,530,816,016/103,638
6. Step 6: Final answer
   x = 497,219.32