Finding the Third Proportional to 105,192 and 158,886

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 158,886 = 158,886 : x
2. Step 2: Convert to fraction form
   105,192/158,886 = 158,886/x
3. Step 3: Cross multiply
   105,192x = 158,886 × 158,886
4. Step 4: Simplify right side
   105,192x = 25,244,760,996
5. Step 5: Solve for x
   x = 25,244,760,996/105,192
6. Step 6: Final answer
   x = 239,987.46