Finding the Third Proportional to 105,204 and 144,630

Step by Step Solution

1. Step 1: Write the proportion equation
   105,204 : 144,630 = 144,630 : x
2. Step 2: Convert to fraction form
   105,204/144,630 = 144,630/x
3. Step 3: Cross multiply
   105,204x = 144,630 × 144,630
4. Step 4: Simplify right side
   105,204x = 20,917,836,900
5. Step 5: Solve for x
   x = 20,917,836,900/105,204
6. Step 6: Final answer
   x = 198,831.19