Finding the Third Proportional to 80,811 and 175,866

Step by Step Solution

1. Step 1: Write the proportion equation
   80,811 : 175,866 = 175,866 : x
2. Step 2: Convert to fraction form
   80,811/175,866 = 175,866/x
3. Step 3: Cross multiply
   80,811x = 175,866 × 175,866
4. Step 4: Simplify right side
   80,811x = 30,928,849,956
5. Step 5: Solve for x
   x = 30,928,849,956/80,811
6. Step 6: Final answer
   x = 382,730.69