Finding the Third Proportional to 83,434 and 173,771

Step by Step Solution

1. Step 1: Write the proportion equation
   83,434 : 173,771 = 173,771 : x
2. Step 2: Convert to fraction form
   83,434/173,771 = 173,771/x
3. Step 3: Cross multiply
   83,434x = 173,771 × 173,771
4. Step 4: Simplify right side
   83,434x = 30,196,360,441
5. Step 5: Solve for x
   x = 30,196,360,441/83,434
6. Step 6: Final answer
   x = 361,919.13