Finding the Third Proportional to 213,792 and 464,016

Step by Step Solution

1. Step 1: Write the proportion equation
   213,792 : 464,016 = 464,016 : x
2. Step 2: Convert to fraction form
   213,792/464,016 = 464,016/x
3. Step 3: Cross multiply
   213,792x = 464,016 × 464,016
4. Step 4: Simplify right side
   213,792x = 215,310,848,256
5. Step 5: Solve for x
   x = 215,310,848,256/213,792
6. Step 6: Final answer
   x = 1,007,104.33