Finding the Third Proportional to 105,981.75 and 148,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,981.75 : 148,243.50 = 148,243.50 : x
2. Step 2: Convert to fraction form
   105,981.75/148,243.50 = 148,243.50/x
3. Step 3: Cross multiply
   105,981.75x = 148,243.50 × 148,243.50
4. Step 4: Simplify right side
   105,981.75x = 21,976,135,292.25
5. Step 5: Solve for x
   x = 21,976,135,292.25/105,981.75
6. Step 6: Final answer
   x = 207,357.73