Finding the Third Proportional to 338,466 and 504,003

Step by Step Solution

1. Step 1: Write the proportion equation
   338,466 : 504,003 = 504,003 : x
2. Step 2: Convert to fraction form
   338,466/504,003 = 504,003/x
3. Step 3: Cross multiply
   338,466x = 504,003 × 504,003
4. Step 4: Simplify right side
   338,466x = 254,019,024,009
5. Step 5: Solve for x
   x = 254,019,024,009/338,466
6. Step 6: Final answer
   x = 750,500.86