Finding the Third Proportional to 105,718.50 and 150,315.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,718.50 : 150,315.75 = 150,315.75 : x
2. Step 2: Convert to fraction form
   105,718.50/150,315.75 = 150,315.75/x
3. Step 3: Cross multiply
   105,718.50x = 150,315.75 × 150,315.75
4. Step 4: Simplify right side
   105,718.50x = 22,594,824,698.06
5. Step 5: Solve for x
   x = 22,594,824,698.06/105,718.50
6. Step 6: Final answer
   x = 213,726.31