Finding the Third Proportional to 1,018 and 1,114

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018 : 1,114 = 1,114 : x
2. Step 2: Convert to fraction form
   1,018/1,114 = 1,114/x
3. Step 3: Cross multiply
   1,018x = 1,114 × 1,114
4. Step 4: Simplify right side
   1,018x = 1,240,996
5. Step 5: Solve for x
   x = 1,240,996/1,018
6. Step 6: Final answer
   x = 1,219.05