Finding the Third Proportional to 40,980 and 89,512

Step by Step Solution

1. Step 1: Write the proportion equation
   40,980 : 89,512 = 89,512 : x
2. Step 2: Convert to fraction form
   40,980/89,512 = 89,512/x
3. Step 3: Cross multiply
   40,980x = 89,512 × 89,512
4. Step 4: Simplify right side
   40,980x = 8,012,398,144
5. Step 5: Solve for x
   x = 8,012,398,144/40,980
6. Step 6: Final answer
   x = 195,519.72