Finding the Third Proportional to 164,684 and 335,200

Step by Step Solution

1. Step 1: Write the proportion equation
   164,684 : 335,200 = 335,200 : x
2. Step 2: Convert to fraction form
   164,684/335,200 = 335,200/x
3. Step 3: Cross multiply
   164,684x = 335,200 × 335,200
4. Step 4: Simplify right side
   164,684x = 112,359,040,000
5. Step 5: Solve for x
   x = 112,359,040,000/164,684
6. Step 6: Final answer
   x = 682,270.53