Finding the Third Proportional to 184.78 and 288.42

Step by Step Solution

1. Step 1: Write the proportion equation
   184.78 : 288.42 = 288.42 : x
2. Step 2: Convert to fraction form
   184.78/288.42 = 288.42/x
3. Step 3: Cross multiply
   184.78x = 288.42 × 288.42
4. Step 4: Simplify right side
   184.78x = 83,187.18
5. Step 5: Solve for x
   x = 83,187.18/184.78
6. Step 6: Final answer
   x = 450.19