Finding the Third Proportional to 380 and 426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380 : 426.50 = 426.50 : x
2. Step 2: Convert to fraction form
   380/426.50 = 426.50/x
3. Step 3: Cross multiply
   380x = 426.50 × 426.50
4. Step 4: Simplify right side
   380x = 181,902.25
5. Step 5: Solve for x
   x = 181,902.25/380
6. Step 6: Final answer
   x = 478.69