Finding the Third Proportional to 479,776 and 704,096

Step by Step Solution

1. Step 1: Write the proportion equation
   479,776 : 704,096 = 704,096 : x
2. Step 2: Convert to fraction form
   479,776/704,096 = 704,096/x
3. Step 3: Cross multiply
   479,776x = 704,096 × 704,096
4. Step 4: Simplify right side
   479,776x = 495,751,177,216
5. Step 5: Solve for x
   x = 495,751,177,216/479,776
6. Step 6: Final answer
   x = 1,033,297.16