Finding the Third Proportional to 80,036 and 173,638

Step by Step Solution

1. Step 1: Write the proportion equation
   80,036 : 173,638 = 173,638 : x
2. Step 2: Convert to fraction form
   80,036/173,638 = 173,638/x
3. Step 3: Cross multiply
   80,036x = 173,638 × 173,638
4. Step 4: Simplify right side
   80,036x = 30,150,155,044
5. Step 5: Solve for x
   x = 30,150,155,044/80,036
6. Step 6: Final answer
   x = 376,707.42