Finding the Third Proportional to 152,288 and 327,256

Step by Step Solution

1. Step 1: Write the proportion equation
   152,288 : 327,256 = 327,256 : x
2. Step 2: Convert to fraction form
   152,288/327,256 = 327,256/x
3. Step 3: Cross multiply
   152,288x = 327,256 × 327,256
4. Step 4: Simplify right side
   152,288x = 107,096,489,536
5. Step 5: Solve for x
   x = 107,096,489,536/152,288
6. Step 6: Final answer
   x = 703,249.69