Finding the Third Proportional to 105,718 and 144,966

Step by Step Solution

1. Step 1: Write the proportion equation
   105,718 : 144,966 = 144,966 : x
2. Step 2: Convert to fraction form
   105,718/144,966 = 144,966/x
3. Step 3: Cross multiply
   105,718x = 144,966 × 144,966
4. Step 4: Simplify right side
   105,718x = 21,015,141,156
5. Step 5: Solve for x
   x = 21,015,141,156/105,718
6. Step 6: Final answer
   x = 198,784.89