Finding the Third Proportional to 80,388 and 171,849

Step by Step Solution

1. Step 1: Write the proportion equation
   80,388 : 171,849 = 171,849 : x
2. Step 2: Convert to fraction form
   80,388/171,849 = 171,849/x
3. Step 3: Cross multiply
   80,388x = 171,849 × 171,849
4. Step 4: Simplify right side
   80,388x = 29,532,078,801
5. Step 5: Solve for x
   x = 29,532,078,801/80,388
6. Step 6: Final answer
   x = 367,369.24