Finding the Third Proportional to 179.69 and 380.88

Step by Step Solution

1. Step 1: Write the proportion equation
   179.69 : 380.88 = 380.88 : x
2. Step 2: Convert to fraction form
   179.69/380.88 = 380.88/x
3. Step 3: Cross multiply
   179.69x = 380.88 × 380.88
4. Step 4: Simplify right side
   179.69x = 145,065.77
5. Step 5: Solve for x
   x = 145,065.77/179.69
6. Step 6: Final answer
   x = 807.32