Finding the Third Proportional to 334,944 and 728,064

Step by Step Solution

1. Step 1: Write the proportion equation
   334,944 : 728,064 = 728,064 : x
2. Step 2: Convert to fraction form
   334,944/728,064 = 728,064/x
3. Step 3: Cross multiply
   334,944x = 728,064 × 728,064
4. Step 4: Simplify right side
   334,944x = 530,077,188,096
5. Step 5: Solve for x
   x = 530,077,188,096/334,944
6. Step 6: Final answer
   x = 1,582,584.52