Finding the Third Proportional to 100,838.50 and 220,016

Step by Step Solution

1. Step 1: Write the proportion equation
   100,838.50 : 220,016 = 220,016 : x
2. Step 2: Convert to fraction form
   100,838.50/220,016 = 220,016/x
3. Step 3: Cross multiply
   100,838.50x = 220,016 × 220,016
4. Step 4: Simplify right side
   100,838.50x = 48,407,040,256
5. Step 5: Solve for x
   x = 48,407,040,256/100,838.50
6. Step 6: Final answer
   x = 480,045.22