Finding the Third Proportional to 80,496 and 171,386

Step by Step Solution

1. Step 1: Write the proportion equation
   80,496 : 171,386 = 171,386 : x
2. Step 2: Convert to fraction form
   80,496/171,386 = 171,386/x
3. Step 3: Cross multiply
   80,496x = 171,386 × 171,386
4. Step 4: Simplify right side
   80,496x = 29,373,160,996
5. Step 5: Solve for x
   x = 29,373,160,996/80,496
6. Step 6: Final answer
   x = 364,902.12