Finding the Third Proportional to 184.78 and 404.16

Step by Step Solution

1. Step 1: Write the proportion equation
   184.78 : 404.16 = 404.16 : x
2. Step 2: Convert to fraction form
   184.78/404.16 = 404.16/x
3. Step 3: Cross multiply
   184.78x = 404.16 × 404.16
4. Step 4: Simplify right side
   184.78x = 163,342.27
5. Step 5: Solve for x
   x = 163,342.27/184.78
6. Step 6: Final answer
   x = 883.98