Finding the Third Proportional to 142,906 and 311,204

Step by Step Solution

1. Step 1: Write the proportion equation
   142,906 : 311,204 = 311,204 : x
2. Step 2: Convert to fraction form
   142,906/311,204 = 311,204/x
3. Step 3: Cross multiply
   142,906x = 311,204 × 311,204
4. Step 4: Simplify right side
   142,906x = 96,847,929,616
5. Step 5: Solve for x
   x = 96,847,929,616/142,906
6. Step 6: Final answer
   x = 677,703.73