Finding the Third Proportional to 104,016 and 224,384

Step by Step Solution

1. Step 1: Write the proportion equation
   104,016 : 224,384 = 224,384 : x
2. Step 2: Convert to fraction form
   104,016/224,384 = 224,384/x
3. Step 3: Cross multiply
   104,016x = 224,384 × 224,384
4. Step 4: Simplify right side
   104,016x = 50,348,179,456
5. Step 5: Solve for x
   x = 50,348,179,456/104,016
6. Step 6: Final answer
   x = 484,042.64