Finding the Third Proportional to 105,645 and 144,855

Step by Step Solution

1. Step 1: Write the proportion equation
   105,645 : 144,855 = 144,855 : x
2. Step 2: Convert to fraction form
   105,645/144,855 = 144,855/x
3. Step 3: Cross multiply
   105,645x = 144,855 × 144,855
4. Step 4: Simplify right side
   105,645x = 20,982,971,025
5. Step 5: Solve for x
   x = 20,982,971,025/105,645
6. Step 6: Final answer
   x = 198,617.74