Finding the Third Proportional to 80,517 and 174,907

Step by Step Solution

1. Step 1: Write the proportion equation
   80,517 : 174,907 = 174,907 : x
2. Step 2: Convert to fraction form
   80,517/174,907 = 174,907/x
3. Step 3: Cross multiply
   80,517x = 174,907 × 174,907
4. Step 4: Simplify right side
   80,517x = 30,592,458,649
5. Step 5: Solve for x
   x = 30,592,458,649/80,517
6. Step 6: Final answer
   x = 379,950.30