Finding the Third Proportional to 188.88 and 446.56

Step by Step Solution

1. Step 1: Write the proportion equation
   188.88 : 446.56 = 446.56 : x
2. Step 2: Convert to fraction form
   188.88/446.56 = 446.56/x
3. Step 3: Cross multiply
   188.88x = 446.56 × 446.56
4. Step 4: Simplify right side
   188.88x = 199,418.07
5. Step 5: Solve for x
   x = 199,418.07/188.88
6. Step 6: Final answer
   x = 1,055.82