Finding the Third Proportional to 509,664 and 1,107,936

Step by Step Solution

1. Step 1: Write the proportion equation
   509,664 : 1,107,936 = 1,107,936 : x
2. Step 2: Convert to fraction form
   509,664/1,107,936 = 1,107,936/x
3. Step 3: Cross multiply
   509,664x = 1,107,936 × 1,107,936
4. Step 4: Simplify right side
   509,664x = 1,227,522,180,096
5. Step 5: Solve for x
   x = 1,227,522,180,096/509,664
6. Step 6: Final answer
   x = 2,408,493.01