Finding the Third Proportional to 297,856 and 648,320

Step by Step Solution

1. Step 1: Write the proportion equation
   297,856 : 648,320 = 648,320 : x
2. Step 2: Convert to fraction form
   297,856/648,320 = 648,320/x
3. Step 3: Cross multiply
   297,856x = 648,320 × 648,320
4. Step 4: Simplify right side
   297,856x = 420,318,822,400
5. Step 5: Solve for x
   x = 420,318,822,400/297,856
6. Step 6: Final answer
   x = 1,411,147.74