Finding the Third Proportional to 142,082 and 311,236

Step by Step Solution

1. Step 1: Write the proportion equation
   142,082 : 311,236 = 311,236 : x
2. Step 2: Convert to fraction form
   142,082/311,236 = 311,236/x
3. Step 3: Cross multiply
   142,082x = 311,236 × 311,236
4. Step 4: Simplify right side
   142,082x = 96,867,847,696
5. Step 5: Solve for x
   x = 96,867,847,696/142,082
6. Step 6: Final answer
   x = 681,774.24