Finding the Third Proportional to 338,448 and 733,488

Step by Step Solution

1. Step 1: Write the proportion equation
   338,448 : 733,488 = 733,488 : x
2. Step 2: Convert to fraction form
   338,448/733,488 = 733,488/x
3. Step 3: Cross multiply
   338,448x = 733,488 × 733,488
4. Step 4: Simplify right side
   338,448x = 538,004,646,144
5. Step 5: Solve for x
   x = 538,004,646,144/338,448
6. Step 6: Final answer
   x = 1,589,622.77