Finding the Third Proportional to 142,180 and 311,144

Step by Step Solution

1. Step 1: Write the proportion equation
   142,180 : 311,144 = 311,144 : x
2. Step 2: Convert to fraction form
   142,180/311,144 = 311,144/x
3. Step 3: Cross multiply
   142,180x = 311,144 × 311,144
4. Step 4: Simplify right side
   142,180x = 96,810,588,736
5. Step 5: Solve for x
   x = 96,810,588,736/142,180
6. Step 6: Final answer
   x = 680,901.59