Finding the Third Proportional to 103,684 and 227,456

Step by Step Solution

1. Step 1: Write the proportion equation
   103,684 : 227,456 = 227,456 : x
2. Step 2: Convert to fraction form
   103,684/227,456 = 227,456/x
3. Step 3: Cross multiply
   103,684x = 227,456 × 227,456
4. Step 4: Simplify right side
   103,684x = 51,736,231,936
5. Step 5: Solve for x
   x = 51,736,231,936/103,684
6. Step 6: Final answer
   x = 498,979.90