Finding the Third Proportional to 179.72 and 388.22

Step by Step Solution

1. Step 1: Write the proportion equation
   179.72 : 388.22 = 388.22 : x
2. Step 2: Convert to fraction form
   179.72/388.22 = 388.22/x
3. Step 3: Cross multiply
   179.72x = 388.22 × 388.22
4. Step 4: Simplify right side
   179.72x = 150,713.80
5. Step 5: Solve for x
   x = 150,713.80/179.72
6. Step 6: Final answer
   x = 838.61