Finding the Third Proportional to 105,102 and 158,742

Step by Step Solution

1. Step 1: Write the proportion equation
   105,102 : 158,742 = 158,742 : x
2. Step 2: Convert to fraction form
   105,102/158,742 = 158,742/x
3. Step 3: Cross multiply
   105,102x = 158,742 × 158,742
4. Step 4: Simplify right side
   105,102x = 25,199,022,564
5. Step 5: Solve for x
   x = 25,199,022,564/105,102
6. Step 6: Final answer
   x = 239,757.78