Finding the Third Proportional to 105,967 and 158,952

Step by Step Solution

1. Step 1: Write the proportion equation
   105,967 : 158,952 = 158,952 : x
2. Step 2: Convert to fraction form
   105,967/158,952 = 158,952/x
3. Step 3: Cross multiply
   105,967x = 158,952 × 158,952
4. Step 4: Simplify right side
   105,967x = 25,265,738,304
5. Step 5: Solve for x
   x = 25,265,738,304/105,967
6. Step 6: Final answer
   x = 238,430.25