Finding the Third Proportional to 379.69 and 588.52

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 588.52 = 588.52 : x
2. Step 2: Convert to fraction form
   379.69/588.52 = 588.52/x
3. Step 3: Cross multiply
   379.69x = 588.52 × 588.52
4. Step 4: Simplify right side
   379.69x = 346,350.64
5. Step 5: Solve for x
   x = 346,350.64/379.69
6. Step 6: Final answer
   x = 912.20