Finding the Third Proportional to 339,422 and 503,256

Step by Step Solution

1. Step 1: Write the proportion equation
   339,422 : 503,256 = 503,256 : x
2. Step 2: Convert to fraction form
   339,422/503,256 = 503,256/x
3. Step 3: Cross multiply
   339,422x = 503,256 × 503,256
4. Step 4: Simplify right side
   339,422x = 253,266,601,536
5. Step 5: Solve for x
   x = 253,266,601,536/339,422
6. Step 6: Final answer
   x = 746,170.26