Finding the Third Proportional to 98,016 and 146,638

Step by Step Solution

1. Step 1: Write the proportion equation
   98,016 : 146,638 = 146,638 : x
2. Step 2: Convert to fraction form
   98,016/146,638 = 146,638/x
3. Step 3: Cross multiply
   98,016x = 146,638 × 146,638
4. Step 4: Simplify right side
   98,016x = 21,502,703,044
5. Step 5: Solve for x
   x = 21,502,703,044/98,016
6. Step 6: Final answer
   x = 219,379.52