Finding the Third Proportional to 105,762 and 221,900

Step by Step Solution

1. Step 1: Write the proportion equation
   105,762 : 221,900 = 221,900 : x
2. Step 2: Convert to fraction form
   105,762/221,900 = 221,900/x
3. Step 3: Cross multiply
   105,762x = 221,900 × 221,900
4. Step 4: Simplify right side
   105,762x = 49,239,610,000
5. Step 5: Solve for x
   x = 49,239,610,000/105,762
6. Step 6: Final answer
   x = 465,569.96