Finding the Third Proportional to 334,414 and 518,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,414 : 518,388.50 = 518,388.50 : x
2. Step 2: Convert to fraction form
   334,414/518,388.50 = 518,388.50/x
3. Step 3: Cross multiply
   334,414x = 518,388.50 × 518,388.50
4. Step 4: Simplify right side
   334,414x = 268,726,636,932.25
5. Step 5: Solve for x
   x = 268,726,636,932.25/334,414
6. Step 6: Final answer
   x = 803,574.72