Finding the Third Proportional to 300.59 and 404.26

Step by Step Solution

1. Step 1: Write the proportion equation
   300.59 : 404.26 = 404.26 : x
2. Step 2: Convert to fraction form
   300.59/404.26 = 404.26/x
3. Step 3: Cross multiply
   300.59x = 404.26 × 404.26
4. Step 4: Simplify right side
   300.59x = 163,427.54
5. Step 5: Solve for x
   x = 163,427.54/300.59
6. Step 6: Final answer
   x = 543.70