Finding the Third Proportional to 1,105.31 and 1,179.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.31 : 1,179.56 = 1,179.56 : x
2. Step 2: Convert to fraction form
   1,105.31/1,179.56 = 1,179.56/x
3. Step 3: Cross multiply
   1,105.31x = 1,179.56 × 1,179.56
4. Step 4: Simplify right side
   1,105.31x = 1,391,367.69
5. Step 5: Solve for x
   x = 1,391,367.69/1,105.31
6. Step 6: Final answer
   x = 1,258.80