Finding the Third Proportional to 105,640 and 144,850.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,640 : 144,850.50 = 144,850.50 : x
2. Step 2: Convert to fraction form
   105,640/144,850.50 = 144,850.50/x
3. Step 3: Cross multiply
   105,640x = 144,850.50 × 144,850.50
4. Step 4: Simplify right side
   105,640x = 20,981,667,350.25
5. Step 5: Solve for x
   x = 20,981,667,350.25/105,640
6. Step 6: Final answer
   x = 198,614.80