Finding the Third Proportional to 40,855 and 90,456

Step by Step Solution

1. Step 1: Write the proportion equation
   40,855 : 90,456 = 90,456 : x
2. Step 2: Convert to fraction form
   40,855/90,456 = 90,456/x
3. Step 3: Cross multiply
   40,855x = 90,456 × 90,456
4. Step 4: Simplify right side
   40,855x = 8,182,287,936
5. Step 5: Solve for x
   x = 8,182,287,936/40,855
6. Step 6: Final answer
   x = 200,276.29