Finding the Third Proportional to 998 and 1,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   998 : 1,267.50 = 1,267.50 : x
2. Step 2: Convert to fraction form
   998/1,267.50 = 1,267.50/x
3. Step 3: Cross multiply
   998x = 1,267.50 × 1,267.50
4. Step 4: Simplify right side
   998x = 1,606,556.25
5. Step 5: Solve for x
   x = 1,606,556.25/998
6. Step 6: Final answer
   x = 1,609.78