Finding the Third Proportional to 105,711 and 144,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,711 : 144,958.50 = 144,958.50 : x
2. Step 2: Convert to fraction form
   105,711/144,958.50 = 144,958.50/x
3. Step 3: Cross multiply
   105,711x = 144,958.50 × 144,958.50
4. Step 4: Simplify right side
   105,711x = 21,012,966,722.25
5. Step 5: Solve for x
   x = 21,012,966,722.25/105,711
6. Step 6: Final answer
   x = 198,777.49