Finding the Third Proportional to 105,201 and 158,895

Step by Step Solution

1. Step 1: Write the proportion equation
   105,201 : 158,895 = 158,895 : x
2. Step 2: Convert to fraction form
   105,201/158,895 = 158,895/x
3. Step 3: Cross multiply
   105,201x = 158,895 × 158,895
4. Step 4: Simplify right side
   105,201x = 25,247,621,025
5. Step 5: Solve for x
   x = 25,247,621,025/105,201
6. Step 6: Final answer
   x = 239,994.12