Finding the Third Proportional to 105,821 and 144,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,821 : 144,107.50 = 144,107.50 : x
2. Step 2: Convert to fraction form
   105,821/144,107.50 = 144,107.50/x
3. Step 3: Cross multiply
   105,821x = 144,107.50 × 144,107.50
4. Step 4: Simplify right side
   105,821x = 20,766,971,556.25
5. Step 5: Solve for x
   x = 20,766,971,556.25/105,821
6. Step 6: Final answer
   x = 196,246.22