Finding the Third Proportional to 128,568 and 196,116

Step by Step Solution

1. Step 1: Write the proportion equation
   128,568 : 196,116 = 196,116 : x
2. Step 2: Convert to fraction form
   128,568/196,116 = 196,116/x
3. Step 3: Cross multiply
   128,568x = 196,116 × 196,116
4. Step 4: Simplify right side
   128,568x = 38,461,485,456
5. Step 5: Solve for x
   x = 38,461,485,456/128,568
6. Step 6: Final answer
   x = 299,152.86