Finding the Third Proportional to 1,078 and 1,166

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078 : 1,166 = 1,166 : x
2. Step 2: Convert to fraction form
   1,078/1,166 = 1,166/x
3. Step 3: Cross multiply
   1,078x = 1,166 × 1,166
4. Step 4: Simplify right side
   1,078x = 1,359,556
5. Step 5: Solve for x
   x = 1,359,556/1,078
6. Step 6: Final answer
   x = 1,261.18