Finding the Third Proportional to 105,541 and 222,012

Step by Step Solution

1. Step 1: Write the proportion equation
   105,541 : 222,012 = 222,012 : x
2. Step 2: Convert to fraction form
   105,541/222,012 = 222,012/x
3. Step 3: Cross multiply
   105,541x = 222,012 × 222,012
4. Step 4: Simplify right side
   105,541x = 49,289,328,144
5. Step 5: Solve for x
   x = 49,289,328,144/105,541
6. Step 6: Final answer
   x = 467,015.93