Finding the Third Proportional to 336,996 and 733,504

Step by Step Solution

1. Step 1: Write the proportion equation
   336,996 : 733,504 = 733,504 : x
2. Step 2: Convert to fraction form
   336,996/733,504 = 733,504/x
3. Step 3: Cross multiply
   336,996x = 733,504 × 733,504
4. Step 4: Simplify right side
   336,996x = 538,028,118,016
5. Step 5: Solve for x
   x = 538,028,118,016/336,996
6. Step 6: Final answer
   x = 1,596,541.56