Finding the Third Proportional to 80,389 and 174,617

Step by Step Solution

1. Step 1: Write the proportion equation
   80,389 : 174,617 = 174,617 : x
2. Step 2: Convert to fraction form
   80,389/174,617 = 174,617/x
3. Step 3: Cross multiply
   80,389x = 174,617 × 174,617
4. Step 4: Simplify right side
   80,389x = 30,491,096,689
5. Step 5: Solve for x
   x = 30,491,096,689/80,389
6. Step 6: Final answer
   x = 379,294.39