Finding the Third Proportional to 105,101 and 158,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,101 : 158,744.50 = 158,744.50 : x
2. Step 2: Convert to fraction form
   105,101/158,744.50 = 158,744.50/x
3. Step 3: Cross multiply
   105,101x = 158,744.50 × 158,744.50
4. Step 4: Simplify right side
   105,101x = 25,199,816,280.25
5. Step 5: Solve for x
   x = 25,199,816,280.25/105,101
6. Step 6: Final answer
   x = 239,767.62