Finding the Third Proportional to 142,858 and 311,114

Step by Step Solution

1. Step 1: Write the proportion equation
   142,858 : 311,114 = 311,114 : x
2. Step 2: Convert to fraction form
   142,858/311,114 = 311,114/x
3. Step 3: Cross multiply
   142,858x = 311,114 × 311,114
4. Step 4: Simplify right side
   142,858x = 96,791,920,996
5. Step 5: Solve for x
   x = 96,791,920,996/142,858
6. Step 6: Final answer
   x = 677,539.38