Finding the Third Proportional to 444,096 and 677,196

Step by Step Solution

1. Step 1: Write the proportion equation
   444,096 : 677,196 = 677,196 : x
2. Step 2: Convert to fraction form
   444,096/677,196 = 677,196/x
3. Step 3: Cross multiply
   444,096x = 677,196 × 677,196
4. Step 4: Simplify right side
   444,096x = 458,594,422,416
5. Step 5: Solve for x
   x = 458,594,422,416/444,096
6. Step 6: Final answer
   x = 1,032,647.05