Finding the Third Proportional to 334,144 and 720,456

Step by Step Solution

1. Step 1: Write the proportion equation
   334,144 : 720,456 = 720,456 : x
2. Step 2: Convert to fraction form
   334,144/720,456 = 720,456/x
3. Step 3: Cross multiply
   334,144x = 720,456 × 720,456
4. Step 4: Simplify right side
   334,144x = 519,056,847,936
5. Step 5: Solve for x
   x = 519,056,847,936/334,144
6. Step 6: Final answer
   x = 1,553,392.69