Finding the Third Proportional to 72,204 and 150,966

Step by Step Solution

1. Step 1: Write the proportion equation
   72,204 : 150,966 = 150,966 : x
2. Step 2: Convert to fraction form
   72,204/150,966 = 150,966/x
3. Step 3: Cross multiply
   72,204x = 150,966 × 150,966
4. Step 4: Simplify right side
   72,204x = 22,790,733,156
5. Step 5: Solve for x
   x = 22,790,733,156/72,204
6. Step 6: Final answer
   x = 315,643.64