Finding the Third Proportional to 111,016 and 233,638

Step by Step Solution

1. Step 1: Write the proportion equation
   111,016 : 233,638 = 233,638 : x
2. Step 2: Convert to fraction form
   111,016/233,638 = 233,638/x
3. Step 3: Cross multiply
   111,016x = 233,638 × 233,638
4. Step 4: Simplify right side
   111,016x = 54,586,715,044
5. Step 5: Solve for x
   x = 54,586,715,044/111,016
6. Step 6: Final answer
   x = 491,701.33