Finding the Third Proportional to 83,568 and 128,000

Step by Step Solution

1. Step 1: Write the proportion equation
   83,568 : 128,000 = 128,000 : x
2. Step 2: Convert to fraction form
   83,568/128,000 = 128,000/x
3. Step 3: Cross multiply
   83,568x = 128,000 × 128,000
4. Step 4: Simplify right side
   83,568x = 16,384,000,000
5. Step 5: Solve for x
   x = 16,384,000,000/83,568
6. Step 6: Final answer
   x = 196,055.91