Finding the Third Proportional to 442,890 and 687,096

Step by Step Solution

1. Step 1: Write the proportion equation
   442,890 : 687,096 = 687,096 : x
2. Step 2: Convert to fraction form
   442,890/687,096 = 687,096/x
3. Step 3: Cross multiply
   442,890x = 687,096 × 687,096
4. Step 4: Simplify right side
   442,890x = 472,100,913,216
5. Step 5: Solve for x
   x = 472,100,913,216/442,890
6. Step 6: Final answer
   x = 1,065,955.23