Finding the Third Proportional to 80,852 and 175,860

Step by Step Solution

1. Step 1: Write the proportion equation
   80,852 : 175,860 = 175,860 : x
2. Step 2: Convert to fraction form
   80,852/175,860 = 175,860/x
3. Step 3: Cross multiply
   80,852x = 175,860 × 175,860
4. Step 4: Simplify right side
   80,852x = 30,926,739,600
5. Step 5: Solve for x
   x = 30,926,739,600/80,852
6. Step 6: Final answer
   x = 382,510.51