Finding the Third Proportional to 83,446 and 173,797

Step by Step Solution

1. Step 1: Write the proportion equation
   83,446 : 173,797 = 173,797 : x
2. Step 2: Convert to fraction form
   83,446/173,797 = 173,797/x
3. Step 3: Cross multiply
   83,446x = 173,797 × 173,797
4. Step 4: Simplify right side
   83,446x = 30,205,397,209
5. Step 5: Solve for x
   x = 30,205,397,209/83,446
6. Step 6: Final answer
   x = 361,975.38