Finding the Third Proportional to 105,016.50 and 159,715.13

Step by Step Solution

1. Step 1: Write the proportion equation
   105,016.50 : 159,715.13 = 159,715.13 : x
2. Step 2: Convert to fraction form
   105,016.50/159,715.13 = 159,715.13/x
3. Step 3: Cross multiply
   105,016.50x = 159,715.13 × 159,715.13
4. Step 4: Simplify right side
   105,016.50x = 25,508,921,153.77
5. Step 5: Solve for x
   x = 25,508,921,153.77/105,016.50
6. Step 6: Final answer
   x = 242,903.94