Finding the Third Proportional to 142,256 and 311,288

Step by Step Solution

1. Step 1: Write the proportion equation
   142,256 : 311,288 = 311,288 : x
2. Step 2: Convert to fraction form
   142,256/311,288 = 311,288/x
3. Step 3: Cross multiply
   142,256x = 311,288 × 311,288
4. Step 4: Simplify right side
   142,256x = 96,900,218,944
5. Step 5: Solve for x
   x = 96,900,218,944/142,256
6. Step 6: Final answer
   x = 681,167.89