Finding the Third Proportional to 89,016 and 138,630

Step by Step Solution

1. Step 1: Write the proportion equation
   89,016 : 138,630 = 138,630 : x
2. Step 2: Convert to fraction form
   89,016/138,630 = 138,630/x
3. Step 3: Cross multiply
   89,016x = 138,630 × 138,630
4. Step 4: Simplify right side
   89,016x = 19,218,276,900
5. Step 5: Solve for x
   x = 19,218,276,900/89,016
6. Step 6: Final answer
   x = 215,896.88