Finding the Third Proportional to 820,320 and 1,784,256

Step by Step Solution

1. Step 1: Write the proportion equation
   820,320 : 1,784,256 = 1,784,256 : x
2. Step 2: Convert to fraction form
   820,320/1,784,256 = 1,784,256/x
3. Step 3: Cross multiply
   820,320x = 1,784,256 × 1,784,256
4. Step 4: Simplify right side
   820,320x = 3,183,569,473,536
5. Step 5: Solve for x
   x = 3,183,569,473,536/820,320
6. Step 6: Final answer
   x = 3,880,887.30