Finding the Third Proportional to 80,472 and 173,216

Step by Step Solution

1. Step 1: Write the proportion equation
   80,472 : 173,216 = 173,216 : x
2. Step 2: Convert to fraction form
   80,472/173,216 = 173,216/x
3. Step 3: Cross multiply
   80,472x = 173,216 × 173,216
4. Step 4: Simplify right side
   80,472x = 30,003,782,656
5. Step 5: Solve for x
   x = 30,003,782,656/80,472
6. Step 6: Final answer
   x = 372,847.48