Finding the Third Proportional to 380 and 524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380 : 524.50 = 524.50 : x
2. Step 2: Convert to fraction form
   380/524.50 = 524.50/x
3. Step 3: Cross multiply
   380x = 524.50 × 524.50
4. Step 4: Simplify right side
   380x = 275,100.25
5. Step 5: Solve for x
   x = 275,100.25/380
6. Step 6: Final answer
   x = 723.95