Finding the Third Proportional to 179.69 and 374.56

Step by Step Solution

1. Step 1: Write the proportion equation
   179.69 : 374.56 = 374.56 : x
2. Step 2: Convert to fraction form
   179.69/374.56 = 374.56/x
3. Step 3: Cross multiply
   179.69x = 374.56 × 374.56
4. Step 4: Simplify right side
   179.69x = 140,297.07
5. Step 5: Solve for x
   x = 140,297.07/179.69
6. Step 6: Final answer
   x = 780.78