Finding the Third Proportional to 184.69 and 275.81

Step by Step Solution

1. Step 1: Write the proportion equation
   184.69 : 275.81 = 275.81 : x
2. Step 2: Convert to fraction form
   184.69/275.81 = 275.81/x
3. Step 3: Cross multiply
   184.69x = 275.81 × 275.81
4. Step 4: Simplify right side
   184.69x = 76,072.54
5. Step 5: Solve for x
   x = 76,072.54/184.69
6. Step 6: Final answer
   x = 411.90