Finding the Third Proportional to 188.42 and 382.54

Step by Step Solution

1. Step 1: Write the proportion equation
   188.42 : 382.54 = 382.54 : x
2. Step 2: Convert to fraction form
   188.42/382.54 = 382.54/x
3. Step 3: Cross multiply
   188.42x = 382.54 × 382.54
4. Step 4: Simplify right side
   188.42x = 146,333.15
5. Step 5: Solve for x
   x = 146,333.15/188.42
6. Step 6: Final answer
   x = 776.63