Finding the Third Proportional to 277.80 and 404.37

Step by Step Solution

1. Step 1: Write the proportion equation
   277.80 : 404.37 = 404.37 : x
2. Step 2: Convert to fraction form
   277.80/404.37 = 404.37/x
3. Step 3: Cross multiply
   277.80x = 404.37 × 404.37
4. Step 4: Simplify right side
   277.80x = 163,512.82
5. Step 5: Solve for x
   x = 163,512.82/277.80
6. Step 6: Final answer
   x = 588.59