Finding the Third Proportional to 186.75 and 262.69

Step by Step Solution

1. Step 1: Write the proportion equation
   186.75 : 262.69 = 262.69 : x
2. Step 2: Convert to fraction form
   186.75/262.69 = 262.69/x
3. Step 3: Cross multiply
   186.75x = 262.69 × 262.69
4. Step 4: Simplify right side
   186.75x = 69,004.72
5. Step 5: Solve for x
   x = 69,004.72/186.75
6. Step 6: Final answer
   x = 369.50