Finding the Third Proportional to 388.69 and 724.22

Step by Step Solution

1. Step 1: Write the proportion equation
   388.69 : 724.22 = 724.22 : x
2. Step 2: Convert to fraction form
   388.69/724.22 = 724.22/x
3. Step 3: Cross multiply
   388.69x = 724.22 × 724.22
4. Step 4: Simplify right side
   388.69x = 524,492.80
5. Step 5: Solve for x
   x = 524,492.80/388.69
6. Step 6: Final answer
   x = 1,349.39