Finding the Third Proportional to 400,096 and 619,096

Step by Step Solution

1. Step 1: Write the proportion equation
   400,096 : 619,096 = 619,096 : x
2. Step 2: Convert to fraction form
   400,096/619,096 = 619,096/x
3. Step 3: Cross multiply
   400,096x = 619,096 × 619,096
4. Step 4: Simplify right side
   400,096x = 383,279,857,216
5. Step 5: Solve for x
   x = 383,279,857,216/400,096
6. Step 6: Final answer
   x = 957,969.73