Finding the Third Proportional to 477,760 and 722,016

Step by Step Solution

1. Step 1: Write the proportion equation
   477,760 : 722,016 = 722,016 : x
2. Step 2: Convert to fraction form
   477,760/722,016 = 722,016/x
3. Step 3: Cross multiply
   477,760x = 722,016 × 722,016
4. Step 4: Simplify right side
   477,760x = 521,307,104,256
5. Step 5: Solve for x
   x = 521,307,104,256/477,760
6. Step 6: Final answer
   x = 1,091,148.49