Finding the Third Proportional to 40,773 and 89,823

Step by Step Solution

1. Step 1: Write the proportion equation
   40,773 : 89,823 = 89,823 : x
2. Step 2: Convert to fraction form
   40,773/89,823 = 89,823/x
3. Step 3: Cross multiply
   40,773x = 89,823 × 89,823
4. Step 4: Simplify right side
   40,773x = 8,068,171,329
5. Step 5: Solve for x
   x = 8,068,171,329/40,773
6. Step 6: Final answer
   x = 197,880.25