Finding the Third Proportional to 80,361 and 175,009

Step by Step Solution

1. Step 1: Write the proportion equation
   80,361 : 175,009 = 175,009 : x
2. Step 2: Convert to fraction form
   80,361/175,009 = 175,009/x
3. Step 3: Cross multiply
   80,361x = 175,009 × 175,009
4. Step 4: Simplify right side
   80,361x = 30,628,150,081
5. Step 5: Solve for x
   x = 30,628,150,081/80,361
6. Step 6: Final answer
   x = 381,132.02