Finding the Third Proportional to 334,096 and 728,490

Step by Step Solution

1. Step 1: Write the proportion equation
   334,096 : 728,490 = 728,490 : x
2. Step 2: Convert to fraction form
   334,096/728,490 = 728,490/x
3. Step 3: Cross multiply
   334,096x = 728,490 × 728,490
4. Step 4: Simplify right side
   334,096x = 530,697,680,100
5. Step 5: Solve for x
   x = 530,697,680,100/334,096
6. Step 6: Final answer
   x = 1,588,458.65