Finding the Third Proportional to 80,176 and 142,856

Step by Step Solution

1. Step 1: Write the proportion equation
   80,176 : 142,856 = 142,856 : x
2. Step 2: Convert to fraction form
   80,176/142,856 = 142,856/x
3. Step 3: Cross multiply
   80,176x = 142,856 × 142,856
4. Step 4: Simplify right side
   80,176x = 20,407,836,736
5. Step 5: Solve for x
   x = 20,407,836,736/80,176
6. Step 6: Final answer
   x = 254,537.98