Finding the Third Proportional to 105,735 and 221,849

Step by Step Solution

1. Step 1: Write the proportion equation
   105,735 : 221,849 = 221,849 : x
2. Step 2: Convert to fraction form
   105,735/221,849 = 221,849/x
3. Step 3: Cross multiply
   105,735x = 221,849 × 221,849
4. Step 4: Simplify right side
   105,735x = 49,216,978,801
5. Step 5: Solve for x
   x = 49,216,978,801/105,735
6. Step 6: Final answer
   x = 465,474.81