Finding the Third Proportional to 80,389 and 171,851

Step by Step Solution

1. Step 1: Write the proportion equation
   80,389 : 171,851 = 171,851 : x
2. Step 2: Convert to fraction form
   80,389/171,851 = 171,851/x
3. Step 3: Cross multiply
   80,389x = 171,851 × 171,851
4. Step 4: Simplify right side
   80,389x = 29,532,766,201
5. Step 5: Solve for x
   x = 29,532,766,201/80,389
6. Step 6: Final answer
   x = 367,373.23