Finding the Third Proportional to 67,204 and 146,504

Step by Step Solution

1. Step 1: Write the proportion equation
   67,204 : 146,504 = 146,504 : x
2. Step 2: Convert to fraction form
   67,204/146,504 = 146,504/x
3. Step 3: Cross multiply
   67,204x = 146,504 × 146,504
4. Step 4: Simplify right side
   67,204x = 21,463,422,016
5. Step 5: Solve for x
   x = 21,463,422,016/67,204
6. Step 6: Final answer
   x = 319,377.15