Finding the Third Proportional to 80,530 and 171,432

Step by Step Solution

1. Step 1: Write the proportion equation
   80,530 : 171,432 = 171,432 : x
2. Step 2: Convert to fraction form
   80,530/171,432 = 171,432/x
3. Step 3: Cross multiply
   80,530x = 171,432 × 171,432
4. Step 4: Simplify right side
   80,530x = 29,388,930,624
5. Step 5: Solve for x
   x = 29,388,930,624/80,530
6. Step 6: Final answer
   x = 364,943.88