Finding the Third Proportional to 228,096 and 333,216

Step by Step Solution

1. Step 1: Write the proportion equation
   228,096 : 333,216 = 333,216 : x
2. Step 2: Convert to fraction form
   228,096/333,216 = 333,216/x
3. Step 3: Cross multiply
   228,096x = 333,216 × 333,216
4. Step 4: Simplify right side
   228,096x = 111,032,902,656
5. Step 5: Solve for x
   x = 111,032,902,656/228,096
6. Step 6: Final answer
   x = 486,781.45