Finding the Third Proportional to 300.59 and 656.86

Step by Step Solution

1. Step 1: Write the proportion equation
   300.59 : 656.86 = 656.86 : x
2. Step 2: Convert to fraction form
   300.59/656.86 = 656.86/x
3. Step 3: Cross multiply
   300.59x = 656.86 × 656.86
4. Step 4: Simplify right side
   300.59x = 431,464.24
5. Step 5: Solve for x
   x = 431,464.24/300.59
6. Step 6: Final answer
   x = 1,435.41