Finding the Third Proportional to 105,188 and 158,871

Step by Step Solution

1. Step 1: Write the proportion equation
   105,188 : 158,871 = 158,871 : x
2. Step 2: Convert to fraction form
   105,188/158,871 = 158,871/x
3. Step 3: Cross multiply
   105,188x = 158,871 × 158,871
4. Step 4: Simplify right side
   105,188x = 25,239,994,641
5. Step 5: Solve for x
   x = 25,239,994,641/105,188
6. Step 6: Final answer
   x = 239,951.27