Finding the Third Proportional to 142,198 and 311,180

Step by Step Solution

1. Step 1: Write the proportion equation
   142,198 : 311,180 = 311,180 : x
2. Step 2: Convert to fraction form
   142,198/311,180 = 311,180/x
3. Step 3: Cross multiply
   142,198x = 311,180 × 311,180
4. Step 4: Simplify right side
   142,198x = 96,832,992,400
5. Step 5: Solve for x
   x = 96,832,992,400/142,198
6. Step 6: Final answer
   x = 680,972.96