Finding the Third Proportional to 80,470 and 173,212

Step by Step Solution

1. Step 1: Write the proportion equation
   80,470 : 173,212 = 173,212 : x
2. Step 2: Convert to fraction form
   80,470/173,212 = 173,212/x
3. Step 3: Cross multiply
   80,470x = 173,212 × 173,212
4. Step 4: Simplify right side
   80,470x = 30,002,396,944
5. Step 5: Solve for x
   x = 30,002,396,944/80,470
6. Step 6: Final answer
   x = 372,839.53