Finding the Third Proportional to 89.75 and 183.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89.75 : 183.25 = 183.25 : x
2. Step 2: Convert to fraction form
   89.75/183.25 = 183.25/x
3. Step 3: Cross multiply
   89.75x = 183.25 × 183.25
4. Step 4: Simplify right side
   89.75x = 33,580.56
5. Step 5: Solve for x
   x = 33,580.56/89.75
6. Step 6: Final answer
   x = 374.16