Finding the Third Proportional to 105,720 and 144,972

Step by Step Solution

1. Step 1: Write the proportion equation
   105,720 : 144,972 = 144,972 : x
2. Step 2: Convert to fraction form
   105,720/144,972 = 144,972/x
3. Step 3: Cross multiply
   105,720x = 144,972 × 144,972
4. Step 4: Simplify right side
   105,720x = 21,016,880,784
5. Step 5: Solve for x
   x = 21,016,880,784/105,720
6. Step 6: Final answer
   x = 198,797.59