Finding the Third Proportional to 96,950 and 213,016

Step by Step Solution

1. Step 1: Write the proportion equation
   96,950 : 213,016 = 213,016 : x
2. Step 2: Convert to fraction form
   96,950/213,016 = 213,016/x
3. Step 3: Cross multiply
   96,950x = 213,016 × 213,016
4. Step 4: Simplify right side
   96,950x = 45,375,816,256
5. Step 5: Solve for x
   x = 45,375,816,256/96,950
6. Step 6: Final answer
   x = 468,033.17