Finding the Third Proportional to 111,944 and 173,325

Step by Step Solution

1. Step 1: Write the proportion equation
   111,944 : 173,325 = 173,325 : x
2. Step 2: Convert to fraction form
   111,944/173,325 = 173,325/x
3. Step 3: Cross multiply
   111,944x = 173,325 × 173,325
4. Step 4: Simplify right side
   111,944x = 30,041,555,625
5. Step 5: Solve for x
   x = 30,041,555,625/111,944
6. Step 6: Final answer
   x = 268,362.36