Finding the Third Proportional to 185.20 and 427.78

Step by Step Solution

1. Step 1: Write the proportion equation
   185.20 : 427.78 = 427.78 : x
2. Step 2: Convert to fraction form
   185.20/427.78 = 427.78/x
3. Step 3: Cross multiply
   185.20x = 427.78 × 427.78
4. Step 4: Simplify right side
   185.20x = 182,996.80
5. Step 5: Solve for x
   x = 182,996.80/185.20
6. Step 6: Final answer
   x = 988.09