Finding the Third Proportional to 40,774 and 85,976

Step by Step Solution

1. Step 1: Write the proportion equation
   40,774 : 85,976 = 85,976 : x
2. Step 2: Convert to fraction form
   40,774/85,976 = 85,976/x
3. Step 3: Cross multiply
   40,774x = 85,976 × 85,976
4. Step 4: Simplify right side
   40,774x = 7,391,872,576
5. Step 5: Solve for x
   x = 7,391,872,576/40,774
6. Step 6: Final answer
   x = 181,288.87