Finding the Third Proportional to 162,816 and 333,696

Step by Step Solution

1. Step 1: Write the proportion equation
   162,816 : 333,696 = 333,696 : x
2. Step 2: Convert to fraction form
   162,816/333,696 = 333,696/x
3. Step 3: Cross multiply
   162,816x = 333,696 × 333,696
4. Step 4: Simplify right side
   162,816x = 111,353,020,416
5. Step 5: Solve for x
   x = 111,353,020,416/162,816
6. Step 6: Final answer
   x = 683,919.40