Finding the Third Proportional to 289.83 and 604.27

Step by Step Solution

1. Step 1: Write the proportion equation
   289.83 : 604.27 = 604.27 : x
2. Step 2: Convert to fraction form
   289.83/604.27 = 604.27/x
3. Step 3: Cross multiply
   289.83x = 604.27 × 604.27
4. Step 4: Simplify right side
   289.83x = 365,136.95
5. Step 5: Solve for x
   x = 365,136.95/289.83
6. Step 6: Final answer
   x = 1,259.84