Finding the Third Proportional to 40,816 and 90,404

Step by Step Solution

1. Step 1: Write the proportion equation
   40,816 : 90,404 = 90,404 : x
2. Step 2: Convert to fraction form
   40,816/90,404 = 90,404/x
3. Step 3: Cross multiply
   40,816x = 90,404 × 90,404
4. Step 4: Simplify right side
   40,816x = 8,172,883,216
5. Step 5: Solve for x
   x = 8,172,883,216/40,816
6. Step 6: Final answer
   x = 200,237.24