Finding the Third Proportional to 80,919 and 174,105

Step by Step Solution

1. Step 1: Write the proportion equation
   80,919 : 174,105 = 174,105 : x
2. Step 2: Convert to fraction form
   80,919/174,105 = 174,105/x
3. Step 3: Cross multiply
   80,919x = 174,105 × 174,105
4. Step 4: Simplify right side
   80,919x = 30,312,551,025
5. Step 5: Solve for x
   x = 30,312,551,025/80,919
6. Step 6: Final answer
   x = 374,603.63