Finding the Third Proportional to 678.50 and 993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   678.50 : 993.50 = 993.50 : x
2. Step 2: Convert to fraction form
   678.50/993.50 = 993.50/x
3. Step 3: Cross multiply
   678.50x = 993.50 × 993.50
4. Step 4: Simplify right side
   678.50x = 987,042.25
5. Step 5: Solve for x
   x = 987,042.25/678.50
6. Step 6: Final answer
   x = 1,454.74