Finding the Third Proportional to 295,846 and 648,007

Step by Step Solution

1. Step 1: Write the proportion equation
   295,846 : 648,007 = 648,007 : x
2. Step 2: Convert to fraction form
   295,846/648,007 = 648,007/x
3. Step 3: Cross multiply
   295,846x = 648,007 × 648,007
4. Step 4: Simplify right side
   295,846x = 419,913,072,049
5. Step 5: Solve for x
   x = 419,913,072,049/295,846
6. Step 6: Final answer
   x = 1,419,363.70