Finding the Third Proportional to 400,848 and 870,096

Step by Step Solution

1. Step 1: Write the proportion equation
   400,848 : 870,096 = 870,096 : x
2. Step 2: Convert to fraction form
   400,848/870,096 = 870,096/x
3. Step 3: Cross multiply
   400,848x = 870,096 × 870,096
4. Step 4: Simplify right side
   400,848x = 757,067,049,216
5. Step 5: Solve for x
   x = 757,067,049,216/400,848
6. Step 6: Final answer
   x = 1,888,663.66