Finding the Third Proportional to 40,772 and 89,821

Step by Step Solution

1. Step 1: Write the proportion equation
   40,772 : 89,821 = 89,821 : x
2. Step 2: Convert to fraction form
   40,772/89,821 = 89,821/x
3. Step 3: Cross multiply
   40,772x = 89,821 × 89,821
4. Step 4: Simplify right side
   40,772x = 8,067,812,041
5. Step 5: Solve for x
   x = 8,067,812,041/40,772
6. Step 6: Final answer
   x = 197,876.29