Finding the Third Proportional to 333,580 and 503,256

Step by Step Solution

1. Step 1: Write the proportion equation
   333,580 : 503,256 = 503,256 : x
2. Step 2: Convert to fraction form
   333,580/503,256 = 503,256/x
3. Step 3: Cross multiply
   333,580x = 503,256 × 503,256
4. Step 4: Simplify right side
   333,580x = 253,266,601,536
5. Step 5: Solve for x
   x = 253,266,601,536/333,580
6. Step 6: Final answer
   x = 759,237.97