Finding the Third Proportional to 105,761 and 221,898

Step by Step Solution

1. Step 1: Write the proportion equation
   105,761 : 221,898 = 221,898 : x
2. Step 2: Convert to fraction form
   105,761/221,898 = 221,898/x
3. Step 3: Cross multiply
   105,761x = 221,898 × 221,898
4. Step 4: Simplify right side
   105,761x = 49,238,722,404
5. Step 5: Solve for x
   x = 49,238,722,404/105,761
6. Step 6: Final answer
   x = 465,565.97