Finding the Third Proportional to 946,911 and 1,431,663

Step by Step Solution

1. Step 1: Write the proportion equation
   946,911 : 1,431,663 = 1,431,663 : x
2. Step 2: Convert to fraction form
   946,911/1,431,663 = 1,431,663/x
3. Step 3: Cross multiply
   946,911x = 1,431,663 × 1,431,663
4. Step 4: Simplify right side
   946,911x = 2,049,658,945,569
5. Step 5: Solve for x
   x = 2,049,658,945,569/946,911
6. Step 6: Final answer
   x = 2,164,574.02