Finding the Third Proportional to 105,006 and 158,049

Step by Step Solution

1. Step 1: Write the proportion equation
   105,006 : 158,049 = 158,049 : x
2. Step 2: Convert to fraction form
   105,006/158,049 = 158,049/x
3. Step 3: Cross multiply
   105,006x = 158,049 × 158,049
4. Step 4: Simplify right side
   105,006x = 24,979,486,401
5. Step 5: Solve for x
   x = 24,979,486,401/105,006
6. Step 6: Final answer
   x = 237,886.28