Finding the Third Proportional to 105,826.50 and 159,833.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,826.50 : 159,833.25 = 159,833.25 : x
2. Step 2: Convert to fraction form
   105,826.50/159,833.25 = 159,833.25/x
3. Step 3: Cross multiply
   105,826.50x = 159,833.25 × 159,833.25
4. Step 4: Simplify right side
   105,826.50x = 25,546,667,805.56
5. Step 5: Solve for x
   x = 25,546,667,805.56/105,826.50
6. Step 6: Final answer
   x = 241,401.42