Finding the Third Proportional to 282,288 and 401,256

Step by Step Solution

1. Step 1: Write the proportion equation
   282,288 : 401,256 = 401,256 : x
2. Step 2: Convert to fraction form
   282,288/401,256 = 401,256/x
3. Step 3: Cross multiply
   282,288x = 401,256 × 401,256
4. Step 4: Simplify right side
   282,288x = 161,006,377,536
5. Step 5: Solve for x
   x = 161,006,377,536/282,288
6. Step 6: Final answer
   x = 570,362.10