Finding the Third Proportional to 105,088 and 158,723

Step by Step Solution

1. Step 1: Write the proportion equation
   105,088 : 158,723 = 158,723 : x
2. Step 2: Convert to fraction form
   105,088/158,723 = 158,723/x
3. Step 3: Cross multiply
   105,088x = 158,723 × 158,723
4. Step 4: Simplify right side
   105,088x = 25,192,990,729
5. Step 5: Solve for x
   x = 25,192,990,729/105,088
6. Step 6: Final answer
   x = 239,732.33