Finding the Third Proportional to 105,186 and 158,868

Step by Step Solution

1. Step 1: Write the proportion equation
   105,186 : 158,868 = 158,868 : x
2. Step 2: Convert to fraction form
   105,186/158,868 = 158,868/x
3. Step 3: Cross multiply
   105,186x = 158,868 × 158,868
4. Step 4: Simplify right side
   105,186x = 25,239,041,424
5. Step 5: Solve for x
   x = 25,239,041,424/105,186
6. Step 6: Final answer
   x = 239,946.77