Finding the Third Proportional to 83,403 and 179,766

Step by Step Solution

1. Step 1: Write the proportion equation
   83,403 : 179,766 = 179,766 : x
2. Step 2: Convert to fraction form
   83,403/179,766 = 179,766/x
3. Step 3: Cross multiply
   83,403x = 179,766 × 179,766
4. Step 4: Simplify right side
   83,403x = 32,315,814,756
5. Step 5: Solve for x
   x = 32,315,814,756/83,403
6. Step 6: Final answer
   x = 387,465.86