Finding the Third Proportional to 277.59 and 427.78

Step by Step Solution

1. Step 1: Write the proportion equation
   277.59 : 427.78 = 427.78 : x
2. Step 2: Convert to fraction form
   277.59/427.78 = 427.78/x
3. Step 3: Cross multiply
   277.59x = 427.78 × 427.78
4. Step 4: Simplify right side
   277.59x = 182,996.80
5. Step 5: Solve for x
   x = 182,996.80/277.59
6. Step 6: Final answer
   x = 659.23