Finding the Third Proportional to 146,944 and 218,256

Step by Step Solution

1. Step 1: Write the proportion equation
   146,944 : 218,256 = 218,256 : x
2. Step 2: Convert to fraction form
   146,944/218,256 = 218,256/x
3. Step 3: Cross multiply
   146,944x = 218,256 × 218,256
4. Step 4: Simplify right side
   146,944x = 47,635,681,536
5. Step 5: Solve for x
   x = 47,635,681,536/146,944
6. Step 6: Final answer
   x = 324,175.75