Finding the Third Proportional to 142,204.50 and 311,193

Step by Step Solution

1. Step 1: Write the proportion equation
   142,204.50 : 311,193 = 311,193 : x
2. Step 2: Convert to fraction form
   142,204.50/311,193 = 311,193/x
3. Step 3: Cross multiply
   142,204.50x = 311,193 × 311,193
4. Step 4: Simplify right side
   142,204.50x = 96,841,083,249
5. Step 5: Solve for x
   x = 96,841,083,249/142,204.50
6. Step 6: Final answer
   x = 680,998.73