Finding the Third Proportional to 296,914 and 623,004

Step by Step Solution

1. Step 1: Write the proportion equation
   296,914 : 623,004 = 623,004 : x
2. Step 2: Convert to fraction form
   296,914/623,004 = 623,004/x
3. Step 3: Cross multiply
   296,914x = 623,004 × 623,004
4. Step 4: Simplify right side
   296,914x = 388,133,984,016
5. Step 5: Solve for x
   x = 388,133,984,016/296,914
6. Step 6: Final answer
   x = 1,307,226.95