Finding the Third Proportional to 175.69 and 381.56

Step by Step Solution

1. Step 1: Write the proportion equation
   175.69 : 381.56 = 381.56 : x
2. Step 2: Convert to fraction form
   175.69/381.56 = 381.56/x
3. Step 3: Cross multiply
   175.69x = 381.56 × 381.56
4. Step 4: Simplify right side
   175.69x = 145,589.94
5. Step 5: Solve for x
   x = 145,589.94/175.69
6. Step 6: Final answer
   x = 828.69