Finding the Third Proportional to 186.89 and 406.55

Step by Step Solution

1. Step 1: Write the proportion equation
   186.89 : 406.55 = 406.55 : x
2. Step 2: Convert to fraction form
   186.89/406.55 = 406.55/x
3. Step 3: Cross multiply
   186.89x = 406.55 × 406.55
4. Step 4: Simplify right side
   186.89x = 165,280.36
5. Step 5: Solve for x
   x = 165,280.36/186.89
6. Step 6: Final answer
   x = 884.37