Finding the Third Proportional to 967,296 and 2,077,294

Step by Step Solution

1. Step 1: Write the proportion equation
   967,296 : 2,077,294 = 2,077,294 : x
2. Step 2: Convert to fraction form
   967,296/2,077,294 = 2,077,294/x
3. Step 3: Cross multiply
   967,296x = 2,077,294 × 2,077,294
4. Step 4: Simplify right side
   967,296x = 4,315,150,362,436
5. Step 5: Solve for x
   x = 4,315,150,362,436/967,296
6. Step 6: Final answer
   x = 4,461,044.36