Finding the Third Proportional to 142,857 and 311,112

Step by Step Solution

1. Step 1: Write the proportion equation
   142,857 : 311,112 = 311,112 : x
2. Step 2: Convert to fraction form
   142,857/311,112 = 311,112/x
3. Step 3: Cross multiply
   142,857x = 311,112 × 311,112
4. Step 4: Simplify right side
   142,857x = 96,790,676,544
5. Step 5: Solve for x
   x = 96,790,676,544/142,857
6. Step 6: Final answer
   x = 677,535.41