Finding the Third Proportional to 80,206 and 174,071

Step by Step Solution

1. Step 1: Write the proportion equation
   80,206 : 174,071 = 174,071 : x
2. Step 2: Convert to fraction form
   80,206/174,071 = 174,071/x
3. Step 3: Cross multiply
   80,206x = 174,071 × 174,071
4. Step 4: Simplify right side
   80,206x = 30,300,713,041
5. Step 5: Solve for x
   x = 30,300,713,041/80,206
6. Step 6: Final answer
   x = 377,786.11