Finding the Third Proportional to 95,476 and 209,096

Step by Step Solution

1. Step 1: Write the proportion equation
   95,476 : 209,096 = 209,096 : x
2. Step 2: Convert to fraction form
   95,476/209,096 = 209,096/x
3. Step 3: Cross multiply
   95,476x = 209,096 × 209,096
4. Step 4: Simplify right side
   95,476x = 43,721,137,216
5. Step 5: Solve for x
   x = 43,721,137,216/95,476
6. Step 6: Final answer
   x = 457,928.04