Finding the Third Proportional to 213,696 and 309,504

Step by Step Solution

1. Step 1: Write the proportion equation
   213,696 : 309,504 = 309,504 : x
2. Step 2: Convert to fraction form
   213,696/309,504 = 309,504/x
3. Step 3: Cross multiply
   213,696x = 309,504 × 309,504
4. Step 4: Simplify right side
   213,696x = 95,792,726,016
5. Step 5: Solve for x
   x = 95,792,726,016/213,696
6. Step 6: Final answer
   x = 448,266.35