Finding the Third Proportional to 40,966 and 86,054

Step by Step Solution

1. Step 1: Write the proportion equation
   40,966 : 86,054 = 86,054 : x
2. Step 2: Convert to fraction form
   40,966/86,054 = 86,054/x
3. Step 3: Cross multiply
   40,966x = 86,054 × 86,054
4. Step 4: Simplify right side
   40,966x = 7,405,290,916
5. Step 5: Solve for x
   x = 7,405,290,916/40,966
6. Step 6: Final answer
   x = 180,766.76