Finding the Third Proportional to 382 and 675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382 : 675.50 = 675.50 : x
2. Step 2: Convert to fraction form
   382/675.50 = 675.50/x
3. Step 3: Cross multiply
   382x = 675.50 × 675.50
4. Step 4: Simplify right side
   382x = 456,300.25
5. Step 5: Solve for x
   x = 456,300.25/382
6. Step 6: Final answer
   x = 1,194.50