Finding the Third Proportional to 105,716 and 221,810

Step by Step Solution

1. Step 1: Write the proportion equation
   105,716 : 221,810 = 221,810 : x
2. Step 2: Convert to fraction form
   105,716/221,810 = 221,810/x
3. Step 3: Cross multiply
   105,716x = 221,810 × 221,810
4. Step 4: Simplify right side
   105,716x = 49,199,676,100
5. Step 5: Solve for x
   x = 49,199,676,100/105,716
6. Step 6: Final answer
   x = 465,394.79