Finding the Third Proportional to 105,943.50 and 220,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,943.50 : 220,513.50 = 220,513.50 : x
2. Step 2: Convert to fraction form
   105,943.50/220,513.50 = 220,513.50/x
3. Step 3: Cross multiply
   105,943.50x = 220,513.50 × 220,513.50
4. Step 4: Simplify right side
   105,943.50x = 48,626,203,682.25
5. Step 5: Solve for x
   x = 48,626,203,682.25/105,943.50
6. Step 6: Final answer
   x = 458,982.42