Finding the Third Proportional to 105,541 and 222,015

Step by Step Solution

1. Step 1: Write the proportion equation
   105,541 : 222,015 = 222,015 : x
2. Step 2: Convert to fraction form
   105,541/222,015 = 222,015/x
3. Step 3: Cross multiply
   105,541x = 222,015 × 222,015
4. Step 4: Simplify right side
   105,541x = 49,290,660,225
5. Step 5: Solve for x
   x = 49,290,660,225/105,541
6. Step 6: Final answer
   x = 467,028.55