Finding the Third Proportional to 383.50 and 699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383.50 : 699.50 = 699.50 : x
2. Step 2: Convert to fraction form
   383.50/699.50 = 699.50/x
3. Step 3: Cross multiply
   383.50x = 699.50 × 699.50
4. Step 4: Simplify right side
   383.50x = 489,300.25
5. Step 5: Solve for x
   x = 489,300.25/383.50
6. Step 6: Final answer
   x = 1,275.88