Finding the Third Proportional to 105,808 and 144,088

Step by Step Solution

1. Step 1: Write the proportion equation
   105,808 : 144,088 = 144,088 : x
2. Step 2: Convert to fraction form
   105,808/144,088 = 144,088/x
3. Step 3: Cross multiply
   105,808x = 144,088 × 144,088
4. Step 4: Simplify right side
   105,808x = 20,761,351,744
5. Step 5: Solve for x
   x = 20,761,351,744/105,808
6. Step 6: Final answer
   x = 196,217.22