Finding the Third Proportional to 338,016 and 734,856

Step by Step Solution

1. Step 1: Write the proportion equation
   338,016 : 734,856 = 734,856 : x
2. Step 2: Convert to fraction form
   338,016/734,856 = 734,856/x
3. Step 3: Cross multiply
   338,016x = 734,856 × 734,856
4. Step 4: Simplify right side
   338,016x = 540,013,340,736
5. Step 5: Solve for x
   x = 540,013,340,736/338,016
6. Step 6: Final answer
   x = 1,597,596.98