Finding the Third Proportional to 358.59 and 504.56

Step by Step Solution

1. Step 1: Write the proportion equation
   358.59 : 504.56 = 504.56 : x
2. Step 2: Convert to fraction form
   358.59/504.56 = 504.56/x
3. Step 3: Cross multiply
   358.59x = 504.56 × 504.56
4. Step 4: Simplify right side
   358.59x = 254,583.32
5. Step 5: Solve for x
   x = 254,583.32/358.59
6. Step 6: Final answer
   x = 709.95