Finding the Third Proportional to 338,544 and 728,064

Step by Step Solution

1. Step 1: Write the proportion equation
   338,544 : 728,064 = 728,064 : x
2. Step 2: Convert to fraction form
   338,544/728,064 = 728,064/x
3. Step 3: Cross multiply
   338,544x = 728,064 × 728,064
4. Step 4: Simplify right side
   338,544x = 530,077,188,096
5. Step 5: Solve for x
   x = 530,077,188,096/338,544
6. Step 6: Final answer
   x = 1,565,755.67