Finding the Third Proportional to 41,774 and 90,910

Step by Step Solution

1. Step 1: Write the proportion equation
   41,774 : 90,910 = 90,910 : x
2. Step 2: Convert to fraction form
   41,774/90,910 = 90,910/x
3. Step 3: Cross multiply
   41,774x = 90,910 × 90,910
4. Step 4: Simplify right side
   41,774x = 8,264,628,100
5. Step 5: Solve for x
   x = 8,264,628,100/41,774
6. Step 6: Final answer
   x = 197,841.43