Finding the Third Proportional to 88.53 and 188.45

Step by Step Solution

1. Step 1: Write the proportion equation
   88.53 : 188.45 = 188.45 : x
2. Step 2: Convert to fraction form
   88.53/188.45 = 188.45/x
3. Step 3: Cross multiply
   88.53x = 188.45 × 188.45
4. Step 4: Simplify right side
   88.53x = 35,514.58
5. Step 5: Solve for x
   x = 35,514.58/88.53
6. Step 6: Final answer
   x = 401.15