Finding the Third Proportional to 105,891.75 and 159,072

Step by Step Solution

1. Step 1: Write the proportion equation
   105,891.75 : 159,072 = 159,072 : x
2. Step 2: Convert to fraction form
   105,891.75/159,072 = 159,072/x
3. Step 3: Cross multiply
   105,891.75x = 159,072 × 159,072
4. Step 4: Simplify right side
   105,891.75x = 25,303,901,184
5. Step 5: Solve for x
   x = 25,303,901,184/105,891.75
6. Step 6: Final answer
   x = 238,960.08