Finding the Third Proportional to 80,740 and 126,014

Step by Step Solution

1. Step 1: Write the proportion equation
   80,740 : 126,014 = 126,014 : x
2. Step 2: Convert to fraction form
   80,740/126,014 = 126,014/x
3. Step 3: Cross multiply
   80,740x = 126,014 × 126,014
4. Step 4: Simplify right side
   80,740x = 15,879,528,196
5. Step 5: Solve for x
   x = 15,879,528,196/80,740
6. Step 6: Final answer
   x = 196,674.86