Finding the Third Proportional to 838.69 and 1,189.69

Step by Step Solution

1. Step 1: Write the proportion equation
   838.69 : 1,189.69 = 1,189.69 : x
2. Step 2: Convert to fraction form
   838.69/1,189.69 = 1,189.69/x
3. Step 3: Cross multiply
   838.69x = 1,189.69 × 1,189.69
4. Step 4: Simplify right side
   838.69x = 1,415,356.35
5. Step 5: Solve for x
   x = 1,415,356.35/838.69
6. Step 6: Final answer
   x = 1,687.58