Finding the Third Proportional to 105,086 and 144,504

Step by Step Solution

1. Step 1: Write the proportion equation
   105,086 : 144,504 = 144,504 : x
2. Step 2: Convert to fraction form
   105,086/144,504 = 144,504/x
3. Step 3: Cross multiply
   105,086x = 144,504 × 144,504
4. Step 4: Simplify right side
   105,086x = 20,881,406,016
5. Step 5: Solve for x
   x = 20,881,406,016/105,086
6. Step 6: Final answer
   x = 198,707.78