Finding the Third Proportional to 79,742 and 123,825

Step by Step Solution

1. Step 1: Write the proportion equation
   79,742 : 123,825 = 123,825 : x
2. Step 2: Convert to fraction form
   79,742/123,825 = 123,825/x
3. Step 3: Cross multiply
   79,742x = 123,825 × 123,825
4. Step 4: Simplify right side
   79,742x = 15,332,630,625
5. Step 5: Solve for x
   x = 15,332,630,625/79,742
6. Step 6: Final answer
   x = 192,277.98