Finding the Third Proportional to 80,434 and 175,768

Step by Step Solution

1. Step 1: Write the proportion equation
   80,434 : 175,768 = 175,768 : x
2. Step 2: Convert to fraction form
   80,434/175,768 = 175,768/x
3. Step 3: Cross multiply
   80,434x = 175,768 × 175,768
4. Step 4: Simplify right side
   80,434x = 30,894,389,824
5. Step 5: Solve for x
   x = 30,894,389,824/80,434
6. Step 6: Final answer
   x = 384,096.15