Finding the Third Proportional to 83,420 and 173,743

Step by Step Solution

1. Step 1: Write the proportion equation
   83,420 : 173,743 = 173,743 : x
2. Step 2: Convert to fraction form
   83,420/173,743 = 173,743/x
3. Step 3: Cross multiply
   83,420x = 173,743 × 173,743
4. Step 4: Simplify right side
   83,420x = 30,186,630,049
5. Step 5: Solve for x
   x = 30,186,630,049/83,420
6. Step 6: Final answer
   x = 361,863.22