Finding the Third Proportional to 334,112 and 518,144

Step by Step Solution

1. Step 1: Write the proportion equation
   334,112 : 518,144 = 518,144 : x
2. Step 2: Convert to fraction form
   334,112/518,144 = 518,144/x
3. Step 3: Cross multiply
   334,112x = 518,144 × 518,144
4. Step 4: Simplify right side
   334,112x = 268,473,204,736
5. Step 5: Solve for x
   x = 268,473,204,736/334,112
6. Step 6: Final answer
   x = 803,542.54