Finding the Third Proportional to 105,816 and 144,100

Step by Step Solution

1. Step 1: Write the proportion equation
   105,816 : 144,100 = 144,100 : x
2. Step 2: Convert to fraction form
   105,816/144,100 = 144,100/x
3. Step 3: Cross multiply
   105,816x = 144,100 × 144,100
4. Step 4: Simplify right side
   105,816x = 20,764,810,000
5. Step 5: Solve for x
   x = 20,764,810,000/105,816
6. Step 6: Final answer
   x = 196,235.07