Finding the Third Proportional to 105,651 and 143,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,651 : 143,896.50 = 143,896.50 : x
2. Step 2: Convert to fraction form
   105,651/143,896.50 = 143,896.50/x
3. Step 3: Cross multiply
   105,651x = 143,896.50 × 143,896.50
4. Step 4: Simplify right side
   105,651x = 20,706,202,712.25
5. Step 5: Solve for x
   x = 20,706,202,712.25/105,651
6. Step 6: Final answer
   x = 195,986.81