Finding the Third Proportional to 1,026 and 1,180

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026 : 1,180 = 1,180 : x
2. Step 2: Convert to fraction form
   1,026/1,180 = 1,180/x
3. Step 3: Cross multiply
   1,026x = 1,180 × 1,180
4. Step 4: Simplify right side
   1,026x = 1,392,400
5. Step 5: Solve for x
   x = 1,392,400/1,026
6. Step 6: Final answer
   x = 1,357.12