Finding the Third Proportional to 188.06 and 385.27

Step by Step Solution

1. Step 1: Write the proportion equation
   188.06 : 385.27 = 385.27 : x
2. Step 2: Convert to fraction form
   188.06/385.27 = 385.27/x
3. Step 3: Cross multiply
   188.06x = 385.27 × 385.27
4. Step 4: Simplify right side
   188.06x = 148,429.60
5. Step 5: Solve for x
   x = 148,429.60/188.06
6. Step 6: Final answer
   x = 789.26