Finding the Third Proportional to 300.80 and 588.52

Step by Step Solution

1. Step 1: Write the proportion equation
   300.80 : 588.52 = 588.52 : x
2. Step 2: Convert to fraction form
   300.80/588.52 = 588.52/x
3. Step 3: Cross multiply
   300.80x = 588.52 × 588.52
4. Step 4: Simplify right side
   300.80x = 346,350.64
5. Step 5: Solve for x
   x = 346,350.64/300.80
6. Step 6: Final answer
   x = 1,151.44