Finding the Third Proportional to 179.40 and 388.71

Step by Step Solution

1. Step 1: Write the proportion equation
   179.40 : 388.71 = 388.71 : x
2. Step 2: Convert to fraction form
   179.40/388.71 = 388.71/x
3. Step 3: Cross multiply
   179.40x = 388.71 × 388.71
4. Step 4: Simplify right side
   179.40x = 151,091.64
5. Step 5: Solve for x
   x = 151,091.64/179.40
6. Step 6: Final answer
   x = 842.19