Finding the Third Proportional to 142,198.50 and 311,181

Step by Step Solution

1. Step 1: Write the proportion equation
   142,198.50 : 311,181 = 311,181 : x
2. Step 2: Convert to fraction form
   142,198.50/311,181 = 311,181/x
3. Step 3: Cross multiply
   142,198.50x = 311,181 × 311,181
4. Step 4: Simplify right side
   142,198.50x = 96,833,614,761
5. Step 5: Solve for x
   x = 96,833,614,761/142,198.50
6. Step 6: Final answer
   x = 680,974.94