Finding the Third Proportional to 88.75 and 205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   88.75 : 205.38 = 205.38 : x
2. Step 2: Convert to fraction form
   88.75/205.38 = 205.38/x
3. Step 3: Cross multiply
   88.75x = 205.38 × 205.38
4. Step 4: Simplify right side
   88.75x = 42,178.89
5. Step 5: Solve for x
   x = 42,178.89/88.75
6. Step 6: Final answer
   x = 475.26