Finding the Third Proportional to 40,771 and 89,819

Step by Step Solution

1. Step 1: Write the proportion equation
   40,771 : 89,819 = 89,819 : x
2. Step 2: Convert to fraction form
   40,771/89,819 = 89,819/x
3. Step 3: Cross multiply
   40,771x = 89,819 × 89,819
4. Step 4: Simplify right side
   40,771x = 8,067,452,761
5. Step 5: Solve for x
   x = 8,067,452,761/40,771
6. Step 6: Final answer
   x = 197,872.33