Finding the Third Proportional to 188.89 and 400.57

Step by Step Solution

1. Step 1: Write the proportion equation
   188.89 : 400.57 = 400.57 : x
2. Step 2: Convert to fraction form
   188.89/400.57 = 400.57/x
3. Step 3: Cross multiply
   188.89x = 400.57 × 400.57
4. Step 4: Simplify right side
   188.89x = 160,456.58
5. Step 5: Solve for x
   x = 160,456.58/188.89
6. Step 6: Final answer
   x = 849.45