Finding the Third Proportional to 80,196 and 173,228

Step by Step Solution

1. Step 1: Write the proportion equation
   80,196 : 173,228 = 173,228 : x
2. Step 2: Convert to fraction form
   80,196/173,228 = 173,228/x
3. Step 3: Cross multiply
   80,196x = 173,228 × 173,228
4. Step 4: Simplify right side
   80,196x = 30,007,939,984
5. Step 5: Solve for x
   x = 30,007,939,984/80,196
6. Step 6: Final answer
   x = 374,182.50