Finding the Third Proportional to 333,167 and 487,256

Step by Step Solution

1. Step 1: Write the proportion equation
   333,167 : 487,256 = 487,256 : x
2. Step 2: Convert to fraction form
   333,167/487,256 = 487,256/x
3. Step 3: Cross multiply
   333,167x = 487,256 × 487,256
4. Step 4: Simplify right side
   333,167x = 237,418,409,536
5. Step 5: Solve for x
   x = 237,418,409,536/333,167
6. Step 6: Final answer
   x = 712,610.82