Finding the Third Proportional to 40,874 and 89,404

Step by Step Solution

1. Step 1: Write the proportion equation
   40,874 : 89,404 = 89,404 : x
2. Step 2: Convert to fraction form
   40,874/89,404 = 89,404/x
3. Step 3: Cross multiply
   40,874x = 89,404 × 89,404
4. Step 4: Simplify right side
   40,874x = 7,993,075,216
5. Step 5: Solve for x
   x = 7,993,075,216/40,874
6. Step 6: Final answer
   x = 195,554.02