Finding the Third Proportional to 80,417.25 and 171,878

Step by Step Solution

1. Step 1: Write the proportion equation
   80,417.25 : 171,878 = 171,878 : x
2. Step 2: Convert to fraction form
   80,417.25/171,878 = 171,878/x
3. Step 3: Cross multiply
   80,417.25x = 171,878 × 171,878
4. Step 4: Simplify right side
   80,417.25x = 29,542,046,884
5. Step 5: Solve for x
   x = 29,542,046,884/80,417.25
6. Step 6: Final answer
   x = 367,359.58