Finding the Third Proportional to 184.94 and 280.78

Step by Step Solution

1. Step 1: Write the proportion equation
   184.94 : 280.78 = 280.78 : x
2. Step 2: Convert to fraction form
   184.94/280.78 = 280.78/x
3. Step 3: Cross multiply
   184.94x = 280.78 × 280.78
4. Step 4: Simplify right side
   184.94x = 78,838.11
5. Step 5: Solve for x
   x = 78,838.11/184.94
6. Step 6: Final answer
   x = 426.30