Finding the Third Proportional to 80,914 and 176,030

Step by Step Solution

1. Step 1: Write the proportion equation
   80,914 : 176,030 = 176,030 : x
2. Step 2: Convert to fraction form
   80,914/176,030 = 176,030/x
3. Step 3: Cross multiply
   80,914x = 176,030 × 176,030
4. Step 4: Simplify right side
   80,914x = 30,986,560,900
5. Step 5: Solve for x
   x = 30,986,560,900/80,914
6. Step 6: Final answer
   x = 382,956.73