Finding the Third Proportional to 105,522.75 and 221,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,522.75 : 221,980.50 = 221,980.50 : x
2. Step 2: Convert to fraction form
   105,522.75/221,980.50 = 221,980.50/x
3. Step 3: Cross multiply
   105,522.75x = 221,980.50 × 221,980.50
4. Step 4: Simplify right side
   105,522.75x = 49,275,342,380.25
5. Step 5: Solve for x
   x = 49,275,342,380.25/105,522.75
6. Step 6: Final answer
   x = 466,964.16