Finding the Third Proportional to 184.78 and 289.83

Step by Step Solution

1. Step 1: Write the proportion equation
   184.78 : 289.83 = 289.83 : x
2. Step 2: Convert to fraction form
   184.78/289.83 = 289.83/x
3. Step 3: Cross multiply
   184.78x = 289.83 × 289.83
4. Step 4: Simplify right side
   184.78x = 84,000.34
5. Step 5: Solve for x
   x = 84,000.34/184.78
6. Step 6: Final answer
   x = 454.59