Finding the Third Proportional to 726,633 and 1,134,096

Step by Step Solution

1. Step 1: Write the proportion equation
   726,633 : 1,134,096 = 1,134,096 : x
2. Step 2: Convert to fraction form
   726,633/1,134,096 = 1,134,096/x
3. Step 3: Cross multiply
   726,633x = 1,134,096 × 1,134,096
4. Step 4: Simplify right side
   726,633x = 1,286,173,737,216
5. Step 5: Solve for x
   x = 1,286,173,737,216/726,633
6. Step 6: Final answer
   x = 1,770,045.87