Finding the Third Proportional to 297,096 and 613,872

Step by Step Solution

1. Step 1: Write the proportion equation
   297,096 : 613,872 = 613,872 : x
2. Step 2: Convert to fraction form
   297,096/613,872 = 613,872/x
3. Step 3: Cross multiply
   297,096x = 613,872 × 613,872
4. Step 4: Simplify right side
   297,096x = 376,838,832,384
5. Step 5: Solve for x
   x = 376,838,832,384/297,096
6. Step 6: Final answer
   x = 1,268,407.63