Finding the Third Proportional to 307,033 and 664,002

Step by Step Solution

1. Step 1: Write the proportion equation
   307,033 : 664,002 = 664,002 : x
2. Step 2: Convert to fraction form
   307,033/664,002 = 664,002/x
3. Step 3: Cross multiply
   307,033x = 664,002 × 664,002
4. Step 4: Simplify right side
   307,033x = 440,898,656,004
5. Step 5: Solve for x
   x = 440,898,656,004/307,033
6. Step 6: Final answer
   x = 1,435,997.62