Finding the Third Proportional to 40,884 and 89,304

Step by Step Solution

1. Step 1: Write the proportion equation
   40,884 : 89,304 = 89,304 : x
2. Step 2: Convert to fraction form
   40,884/89,304 = 89,304/x
3. Step 3: Cross multiply
   40,884x = 89,304 × 89,304
4. Step 4: Simplify right side
   40,884x = 7,975,204,416
5. Step 5: Solve for x
   x = 7,975,204,416/40,884
6. Step 6: Final answer
   x = 195,069.08