Finding the Third Proportional to 143,404 and 311,684

Step by Step Solution

1. Step 1: Write the proportion equation
   143,404 : 311,684 = 311,684 : x
2. Step 2: Convert to fraction form
   143,404/311,684 = 311,684/x
3. Step 3: Cross multiply
   143,404x = 311,684 × 311,684
4. Step 4: Simplify right side
   143,404x = 97,146,915,856
5. Step 5: Solve for x
   x = 97,146,915,856/143,404
6. Step 6: Final answer
   x = 677,435.19