Finding the Third Proportional to 105,068 and 144,480

Step by Step Solution

1. Step 1: Write the proportion equation
   105,068 : 144,480 = 144,480 : x
2. Step 2: Convert to fraction form
   105,068/144,480 = 144,480/x
3. Step 3: Cross multiply
   105,068x = 144,480 × 144,480
4. Step 4: Simplify right side
   105,068x = 20,874,470,400
5. Step 5: Solve for x
   x = 20,874,470,400/105,068
6. Step 6: Final answer
   x = 198,675.81