Finding the Third Proportional to 164,864 and 223,936

Step by Step Solution

1. Step 1: Write the proportion equation
   164,864 : 223,936 = 223,936 : x
2. Step 2: Convert to fraction form
   164,864/223,936 = 223,936/x
3. Step 3: Cross multiply
   164,864x = 223,936 × 223,936
4. Step 4: Simplify right side
   164,864x = 50,147,332,096
5. Step 5: Solve for x
   x = 50,147,332,096/164,864
6. Step 6: Final answer
   x = 304,173.94