Finding the Third Proportional to 369,362 and 501,393

Step by Step Solution

1. Step 1: Write the proportion equation
   369,362 : 501,393 = 501,393 : x
2. Step 2: Convert to fraction form
   369,362/501,393 = 501,393/x
3. Step 3: Cross multiply
   369,362x = 501,393 × 501,393
4. Step 4: Simplify right side
   369,362x = 251,394,940,449
5. Step 5: Solve for x
   x = 251,394,940,449/369,362
6. Step 6: Final answer
   x = 680,619.39