Finding the Third Proportional to 142,014 and 311,188

Step by Step Solution

1. Step 1: Write the proportion equation
   142,014 : 311,188 = 311,188 : x
2. Step 2: Convert to fraction form
   142,014/311,188 = 311,188/x
3. Step 3: Cross multiply
   142,014x = 311,188 × 311,188
4. Step 4: Simplify right side
   142,014x = 96,837,971,344
5. Step 5: Solve for x
   x = 96,837,971,344/142,014
6. Step 6: Final answer
   x = 681,890.32