Finding the Third Proportional to 80,607 and 175,977

Step by Step Solution

1. Step 1: Write the proportion equation
   80,607 : 175,977 = 175,977 : x
2. Step 2: Convert to fraction form
   80,607/175,977 = 175,977/x
3. Step 3: Cross multiply
   80,607x = 175,977 × 175,977
4. Step 4: Simplify right side
   80,607x = 30,967,904,529
5. Step 5: Solve for x
   x = 30,967,904,529/80,607
6. Step 6: Final answer
   x = 384,183.81