Finding the Third Proportional to 146,932 and 218,238

Step by Step Solution

1. Step 1: Write the proportion equation
   146,932 : 218,238 = 218,238 : x
2. Step 2: Convert to fraction form
   146,932/218,238 = 218,238/x
3. Step 3: Cross multiply
   146,932x = 218,238 × 218,238
4. Step 4: Simplify right side
   146,932x = 47,627,824,644
5. Step 5: Solve for x
   x = 47,627,824,644/146,932
6. Step 6: Final answer
   x = 324,148.75