Finding the Third Proportional to 408,096 and 882,680

Step by Step Solution

1. Step 1: Write the proportion equation
   408,096 : 882,680 = 882,680 : x
2. Step 2: Convert to fraction form
   408,096/882,680 = 882,680/x
3. Step 3: Cross multiply
   408,096x = 882,680 × 882,680
4. Step 4: Simplify right side
   408,096x = 779,123,982,400
5. Step 5: Solve for x
   x = 779,123,982,400/408,096
6. Step 6: Final answer
   x = 1,909,168.39