Finding the Third Proportional to 400,320 and 870,336

Step by Step Solution

1. Step 1: Write the proportion equation
   400,320 : 870,336 = 870,336 : x
2. Step 2: Convert to fraction form
   400,320/870,336 = 870,336/x
3. Step 3: Cross multiply
   400,320x = 870,336 × 870,336
4. Step 4: Simplify right side
   400,320x = 757,484,752,896
5. Step 5: Solve for x
   x = 757,484,752,896/400,320
6. Step 6: Final answer
   x = 1,892,198.12