Finding the Third Proportional to 505.50 and 1,185

Step by Step Solution

1. Step 1: Write the proportion equation
   505.50 : 1,185 = 1,185 : x
2. Step 2: Convert to fraction form
   505.50/1,185 = 1,185/x
3. Step 3: Cross multiply
   505.50x = 1,185 × 1,185
4. Step 4: Simplify right side
   505.50x = 1,404,225
5. Step 5: Solve for x
   x = 1,404,225/505.50
6. Step 6: Final answer
   x = 2,777.89