Finding the Third Proportional to 40,401 and 82,806

Step by Step Solution

1. Step 1: Write the proportion equation
   40,401 : 82,806 = 82,806 : x
2. Step 2: Convert to fraction form
   40,401/82,806 = 82,806/x
3. Step 3: Cross multiply
   40,401x = 82,806 × 82,806
4. Step 4: Simplify right side
   40,401x = 6,856,833,636
5. Step 5: Solve for x
   x = 6,856,833,636/40,401
6. Step 6: Final answer
   x = 169,719.40