Finding the Third Proportional to 83.53 and 184.78

Step by Step Solution

1. Step 1: Write the proportion equation
   83.53 : 184.78 = 184.78 : x
2. Step 2: Convert to fraction form
   83.53/184.78 = 184.78/x
3. Step 3: Cross multiply
   83.53x = 184.78 × 184.78
4. Step 4: Simplify right side
   83.53x = 34,144.11
5. Step 5: Solve for x
   x = 34,144.11/83.53
6. Step 6: Final answer
   x = 408.76