Finding the Third Proportional to 89.38 and 184.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89.38 : 184.75 = 184.75 : x
2. Step 2: Convert to fraction form
   89.38/184.75 = 184.75/x
3. Step 3: Cross multiply
   89.38x = 184.75 × 184.75
4. Step 4: Simplify right side
   89.38x = 34,132.56
5. Step 5: Solve for x
   x = 34,132.56/89.38
6. Step 6: Final answer
   x = 381.90