Finding the Third Proportional to 142,868 and 311,132

Step by Step Solution

1. Step 1: Write the proportion equation
   142,868 : 311,132 = 311,132 : x
2. Step 2: Convert to fraction form
   142,868/311,132 = 311,132/x
3. Step 3: Cross multiply
   142,868x = 311,132 × 311,132
4. Step 4: Simplify right side
   142,868x = 96,803,121,424
5. Step 5: Solve for x
   x = 96,803,121,424/142,868
6. Step 6: Final answer
   x = 677,570.35