Finding the Third Proportional to 208,592 and 298,912

Step by Step Solution

1. Step 1: Write the proportion equation
   208,592 : 298,912 = 298,912 : x
2. Step 2: Convert to fraction form
   208,592/298,912 = 298,912/x
3. Step 3: Cross multiply
   208,592x = 298,912 × 298,912
4. Step 4: Simplify right side
   208,592x = 89,348,383,744
5. Step 5: Solve for x
   x = 89,348,383,744/208,592
6. Step 6: Final answer
   x = 428,340.41