Finding the Third Proportional to 1,109,120 and 1,586,096

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109,120 : 1,586,096 = 1,586,096 : x
2. Step 2: Convert to fraction form
   1,109,120/1,586,096 = 1,586,096/x
3. Step 3: Cross multiply
   1,109,120x = 1,586,096 × 1,586,096
4. Step 4: Simplify right side
   1,109,120x = 2,515,700,521,216
5. Step 5: Solve for x
   x = 2,515,700,521,216/1,109,120
6. Step 6: Final answer
   x = 2,268,195.07