Finding the Third Proportional to 41,856 and 86,628

Step by Step Solution

1. Step 1: Write the proportion equation
   41,856 : 86,628 = 86,628 : x
2. Step 2: Convert to fraction form
   41,856/86,628 = 86,628/x
3. Step 3: Cross multiply
   41,856x = 86,628 × 86,628
4. Step 4: Simplify right side
   41,856x = 7,504,410,384
5. Step 5: Solve for x
   x = 7,504,410,384/41,856
6. Step 6: Final answer
   x = 179,291.15