Finding the Third Proportional to 185.98 and 277.31

Step by Step Solution

1. Step 1: Write the proportion equation
   185.98 : 277.31 = 277.31 : x
2. Step 2: Convert to fraction form
   185.98/277.31 = 277.31/x
3. Step 3: Cross multiply
   185.98x = 277.31 × 277.31
4. Step 4: Simplify right side
   185.98x = 76,902.22
5. Step 5: Solve for x
   x = 76,902.22/185.98
6. Step 6: Final answer
   x = 413.50