Finding the Third Proportional to 40,960 and 90,656

Step by Step Solution

1. Step 1: Write the proportion equation
   40,960 : 90,656 = 90,656 : x
2. Step 2: Convert to fraction form
   40,960/90,656 = 90,656/x
3. Step 3: Cross multiply
   40,960x = 90,656 × 90,656
4. Step 4: Simplify right side
   40,960x = 8,218,510,336
5. Step 5: Solve for x
   x = 8,218,510,336/40,960
6. Step 6: Final answer
   x = 200,647.23