Finding the Third Proportional to 184.78 and 418.27

Step by Step Solution

1. Step 1: Write the proportion equation
   184.78 : 418.27 = 418.27 : x
2. Step 2: Convert to fraction form
   184.78/418.27 = 418.27/x
3. Step 3: Cross multiply
   184.78x = 418.27 × 418.27
4. Step 4: Simplify right side
   184.78x = 174,946.13
5. Step 5: Solve for x
   x = 174,946.13/184.78
6. Step 6: Final answer
   x = 946.77