Finding the Third Proportional to 105,005 and 158,048

Step by Step Solution

1. Step 1: Write the proportion equation
   105,005 : 158,048 = 158,048 : x
2. Step 2: Convert to fraction form
   105,005/158,048 = 158,048/x
3. Step 3: Cross multiply
   105,005x = 158,048 × 158,048
4. Step 4: Simplify right side
   105,005x = 24,979,170,304
5. Step 5: Solve for x
   x = 24,979,170,304/105,005
6. Step 6: Final answer
   x = 237,885.53