Finding the Third Proportional to 300,096 and 646,416

Step by Step Solution

1. Step 1: Write the proportion equation
   300,096 : 646,416 = 646,416 : x
2. Step 2: Convert to fraction form
   300,096/646,416 = 646,416/x
3. Step 3: Cross multiply
   300,096x = 646,416 × 646,416
4. Step 4: Simplify right side
   300,096x = 417,853,645,056
5. Step 5: Solve for x
   x = 417,853,645,056/300,096
6. Step 6: Final answer
   x = 1,392,399.92