Finding the Third Proportional to 59,196 and 126,816

Step by Step Solution

1. Step 1: Write the proportion equation
   59,196 : 126,816 = 126,816 : x
2. Step 2: Convert to fraction form
   59,196/126,816 = 126,816/x
3. Step 3: Cross multiply
   59,196x = 126,816 × 126,816
4. Step 4: Simplify right side
   59,196x = 16,082,297,856
5. Step 5: Solve for x
   x = 16,082,297,856/59,196
6. Step 6: Final answer
   x = 271,678.79