Finding the Third Proportional to 142,802 and 311,018

Step by Step Solution

1. Step 1: Write the proportion equation
   142,802 : 311,018 = 311,018 : x
2. Step 2: Convert to fraction form
   142,802/311,018 = 311,018/x
3. Step 3: Cross multiply
   142,802x = 311,018 × 311,018
4. Step 4: Simplify right side
   142,802x = 96,732,196,324
5. Step 5: Solve for x
   x = 96,732,196,324/142,802
6. Step 6: Final answer
   x = 677,386.85