Finding the Third Proportional to 105,091.50 and 158,727.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105,091.50 : 158,727.38 = 158,727.38 : x
2. Step 2: Convert to fraction form
   105,091.50/158,727.38 = 158,727.38/x
3. Step 3: Cross multiply
   105,091.50x = 158,727.38 × 158,727.38
4. Step 4: Simplify right side
   105,091.50x = 25,194,379,574.39
5. Step 5: Solve for x
   x = 25,194,379,574.39/105,091.50
6. Step 6: Final answer
   x = 239,737.56