Finding the Third Proportional to 50,016 and 108,384

Step by Step Solution

1. Step 1: Write the proportion equation
   50,016 : 108,384 = 108,384 : x
2. Step 2: Convert to fraction form
   50,016/108,384 = 108,384/x
3. Step 3: Cross multiply
   50,016x = 108,384 × 108,384
4. Step 4: Simplify right side
   50,016x = 11,747,091,456
5. Step 5: Solve for x
   x = 11,747,091,456/50,016
6. Step 6: Final answer
   x = 234,866.67