Finding the Third Proportional to 105,647 and 144,858

Step by Step Solution

1. Step 1: Write the proportion equation
   105,647 : 144,858 = 144,858 : x
2. Step 2: Convert to fraction form
   105,647/144,858 = 144,858/x
3. Step 3: Cross multiply
   105,647x = 144,858 × 144,858
4. Step 4: Simplify right side
   105,647x = 20,983,840,164
5. Step 5: Solve for x
   x = 20,983,840,164/105,647
6. Step 6: Final answer
   x = 198,622.21