Finding the Third Proportional to 307,568 and 665,665

Step by Step Solution

1. Step 1: Write the proportion equation
   307,568 : 665,665 = 665,665 : x
2. Step 2: Convert to fraction form
   307,568/665,665 = 665,665/x
3. Step 3: Cross multiply
   307,568x = 665,665 × 665,665
4. Step 4: Simplify right side
   307,568x = 443,109,892,225
5. Step 5: Solve for x
   x = 443,109,892,225/307,568
6. Step 6: Final answer
   x = 1,440,689.19