Finding the Third Proportional to 59,808 and 126,906

Step by Step Solution

1. Step 1: Write the proportion equation
   59,808 : 126,906 = 126,906 : x
2. Step 2: Convert to fraction form
   59,808/126,906 = 126,906/x
3. Step 3: Cross multiply
   59,808x = 126,906 × 126,906
4. Step 4: Simplify right side
   59,808x = 16,105,132,836
5. Step 5: Solve for x
   x = 16,105,132,836/59,808
6. Step 6: Final answer
   x = 269,280.58