Finding the Third Proportional to 1,198 and 1,300

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198 : 1,300 = 1,300 : x
2. Step 2: Convert to fraction form
   1,198/1,300 = 1,300/x
3. Step 3: Cross multiply
   1,198x = 1,300 × 1,300
4. Step 4: Simplify right side
   1,198x = 1,690,000
5. Step 5: Solve for x
   x = 1,690,000/1,198
6. Step 6: Final answer
   x = 1,410.68