Finding the Third Proportional to 824,357 and 1,737,268

Step by Step Solution

1. Step 1: Write the proportion equation
   824,357 : 1,737,268 = 1,737,268 : x
2. Step 2: Convert to fraction form
   824,357/1,737,268 = 1,737,268/x
3. Step 3: Cross multiply
   824,357x = 1,737,268 × 1,737,268
4. Step 4: Simplify right side
   824,357x = 3,018,100,103,824
5. Step 5: Solve for x
   x = 3,018,100,103,824/824,357
6. Step 6: Final answer
   x = 3,661,156.64