Finding the Third Proportional to 79,771 and 174,030

Step by Step Solution

1. Step 1: Write the proportion equation
   79,771 : 174,030 = 174,030 : x
2. Step 2: Convert to fraction form
   79,771/174,030 = 174,030/x
3. Step 3: Cross multiply
   79,771x = 174,030 × 174,030
4. Step 4: Simplify right side
   79,771x = 30,286,440,900
5. Step 5: Solve for x
   x = 30,286,440,900/79,771
6. Step 6: Final answer
   x = 379,667.31