Finding the Third Proportional to 1,198.69 and 1,468.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.69 : 1,468.69 = 1,468.69 : x
2. Step 2: Convert to fraction form
   1,198.69/1,468.69 = 1,468.69/x
3. Step 3: Cross multiply
   1,198.69x = 1,468.69 × 1,468.69
4. Step 4: Simplify right side
   1,198.69x = 2,157,042.97
5. Step 5: Solve for x
   x = 2,157,042.97/1,198.69
6. Step 6: Final answer
   x = 1,799.50