Finding the Third Proportional to 142,020 and 311,200

Step by Step Solution

1. Step 1: Write the proportion equation
   142,020 : 311,200 = 311,200 : x
2. Step 2: Convert to fraction form
   142,020/311,200 = 311,200/x
3. Step 3: Cross multiply
   142,020x = 311,200 × 311,200
4. Step 4: Simplify right side
   142,020x = 96,845,440,000
5. Step 5: Solve for x
   x = 96,845,440,000/142,020
6. Step 6: Final answer
   x = 681,914.10