Finding the Third Proportional to 80,634 and 175,071

Step by Step Solution

1. Step 1: Write the proportion equation
   80,634 : 175,071 = 175,071 : x
2. Step 2: Convert to fraction form
   80,634/175,071 = 175,071/x
3. Step 3: Cross multiply
   80,634x = 175,071 × 175,071
4. Step 4: Simplify right side
   80,634x = 30,649,855,041
5. Step 5: Solve for x
   x = 30,649,855,041/80,634
6. Step 6: Final answer
   x = 380,110.81