Finding the Third Proportional to 105,198 and 158,889

Step by Step Solution

1. Step 1: Write the proportion equation
   105,198 : 158,889 = 158,889 : x
2. Step 2: Convert to fraction form
   105,198/158,889 = 158,889/x
3. Step 3: Cross multiply
   105,198x = 158,889 × 158,889
4. Step 4: Simplify right side
   105,198x = 25,245,714,321
5. Step 5: Solve for x
   x = 25,245,714,321/105,198
6. Step 6: Final answer
   x = 239,982.84