Finding the Third Proportional to 59,325 and 126,186

Step by Step Solution

1. Step 1: Write the proportion equation
   59,325 : 126,186 = 126,186 : x
2. Step 2: Convert to fraction form
   59,325/126,186 = 126,186/x
3. Step 3: Cross multiply
   59,325x = 126,186 × 126,186
4. Step 4: Simplify right side
   59,325x = 15,922,906,596
5. Step 5: Solve for x
   x = 15,922,906,596/59,325
6. Step 6: Final answer
   x = 268,401.29