Finding the Third Proportional to 105,540 and 222,016

Step by Step Solution

1. Step 1: Write the proportion equation
   105,540 : 222,016 = 222,016 : x
2. Step 2: Convert to fraction form
   105,540/222,016 = 222,016/x
3. Step 3: Cross multiply
   105,540x = 222,016 × 222,016
4. Step 4: Simplify right side
   105,540x = 49,291,104,256
5. Step 5: Solve for x
   x = 49,291,104,256/105,540
6. Step 6: Final answer
   x = 467,037.18