Finding the Third Proportional to 105,066 and 144,477

Step by Step Solution

1. Step 1: Write the proportion equation
   105,066 : 144,477 = 144,477 : x
2. Step 2: Convert to fraction form
   105,066/144,477 = 144,477/x
3. Step 3: Cross multiply
   105,066x = 144,477 × 144,477
4. Step 4: Simplify right side
   105,066x = 20,873,603,529
5. Step 5: Solve for x
   x = 20,873,603,529/105,066
6. Step 6: Final answer
   x = 198,671.34