Finding the Third Proportional to 334,096 and 518,118

Step by Step Solution

1. Step 1: Write the proportion equation
   334,096 : 518,118 = 518,118 : x
2. Step 2: Convert to fraction form
   334,096/518,118 = 518,118/x
3. Step 3: Cross multiply
   334,096x = 518,118 × 518,118
4. Step 4: Simplify right side
   334,096x = 268,446,261,924
5. Step 5: Solve for x
   x = 268,446,261,924/334,096
6. Step 6: Final answer
   x = 803,500.38