Finding the Third Proportional to 142,851 and 311,100

Step by Step Solution

1. Step 1: Write the proportion equation
   142,851 : 311,100 = 311,100 : x
2. Step 2: Convert to fraction form
   142,851/311,100 = 311,100/x
3. Step 3: Cross multiply
   142,851x = 311,100 × 311,100
4. Step 4: Simplify right side
   142,851x = 96,783,210,000
5. Step 5: Solve for x
   x = 96,783,210,000/142,851
6. Step 6: Final answer
   x = 677,511.60