Finding the Third Proportional to 83.95 and 184.43

Step by Step Solution

1. Step 1: Write the proportion equation
   83.95 : 184.43 = 184.43 : x
2. Step 2: Convert to fraction form
   83.95/184.43 = 184.43/x
3. Step 3: Cross multiply
   83.95x = 184.43 × 184.43
4. Step 4: Simplify right side
   83.95x = 34,014.31
5. Step 5: Solve for x
   x = 34,014.31/83.95
6. Step 6: Final answer
   x = 405.16