Finding the Third Proportional to 156,684 and 321,666

Step by Step Solution

1. Step 1: Write the proportion equation
   156,684 : 321,666 = 321,666 : x
2. Step 2: Convert to fraction form
   156,684/321,666 = 321,666/x
3. Step 3: Cross multiply
   156,684x = 321,666 × 321,666
4. Step 4: Simplify right side
   156,684x = 103,469,015,556
5. Step 5: Solve for x
   x = 103,469,015,556/156,684
6. Step 6: Final answer
   x = 660,367.46