Finding the Third Proportional to 1,154.75 and 1,189.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.75 : 1,189.25 = 1,189.25 : x
2. Step 2: Convert to fraction form
   1,154.75/1,189.25 = 1,189.25/x
3. Step 3: Cross multiply
   1,154.75x = 1,189.25 × 1,189.25
4. Step 4: Simplify right side
   1,154.75x = 1,414,315.56
5. Step 5: Solve for x
   x = 1,414,315.56/1,154.75
6. Step 6: Final answer
   x = 1,224.78