Finding the Third Proportional to 390.38 and 588.56

Step by Step Solution

1. Step 1: Write the proportion equation
   390.38 : 588.56 = 588.56 : x
2. Step 2: Convert to fraction form
   390.38/588.56 = 588.56/x
3. Step 3: Cross multiply
   390.38x = 588.56 × 588.56
4. Step 4: Simplify right side
   390.38x = 346,405.82
5. Step 5: Solve for x
   x = 346,405.82/390.38
6. Step 6: Final answer
   x = 887.37