Finding the Third Proportional to 40,980 and 89,408

Step by Step Solution

1. Step 1: Write the proportion equation
   40,980 : 89,408 = 89,408 : x
2. Step 2: Convert to fraction form
   40,980/89,408 = 89,408/x
3. Step 3: Cross multiply
   40,980x = 89,408 × 89,408
4. Step 4: Simplify right side
   40,980x = 7,993,790,464
5. Step 5: Solve for x
   x = 7,993,790,464/40,980
6. Step 6: Final answer
   x = 195,065.65