Finding the Third Proportional to 40,456 and 86,015

Step by Step Solution

1. Step 1: Write the proportion equation
   40,456 : 86,015 = 86,015 : x
2. Step 2: Convert to fraction form
   40,456/86,015 = 86,015/x
3. Step 3: Cross multiply
   40,456x = 86,015 × 86,015
4. Step 4: Simplify right side
   40,456x = 7,398,580,225
5. Step 5: Solve for x
   x = 7,398,580,225/40,456
6. Step 6: Final answer
   x = 182,879.68