Finding the Third Proportional to 80,896 and 173,500

Step by Step Solution

1. Step 1: Write the proportion equation
   80,896 : 173,500 = 173,500 : x
2. Step 2: Convert to fraction form
   80,896/173,500 = 173,500/x
3. Step 3: Cross multiply
   80,896x = 173,500 × 173,500
4. Step 4: Simplify right side
   80,896x = 30,102,250,000
5. Step 5: Solve for x
   x = 30,102,250,000/80,896
6. Step 6: Final answer
   x = 372,110.49