Finding the Third Proportional to 128,686 and 196,856

Step by Step Solution

1. Step 1: Write the proportion equation
   128,686 : 196,856 = 196,856 : x
2. Step 2: Convert to fraction form
   128,686/196,856 = 196,856/x
3. Step 3: Cross multiply
   128,686x = 196,856 × 196,856
4. Step 4: Simplify right side
   128,686x = 38,752,284,736
5. Step 5: Solve for x
   x = 38,752,284,736/128,686
6. Step 6: Final answer
   x = 301,138.31