Finding the Third Proportional to 209,288 and 298,896

Step by Step Solution

1. Step 1: Write the proportion equation
   209,288 : 298,896 = 298,896 : x
2. Step 2: Convert to fraction form
   209,288/298,896 = 298,896/x
3. Step 3: Cross multiply
   209,288x = 298,896 × 298,896
4. Step 4: Simplify right side
   209,288x = 89,338,818,816
5. Step 5: Solve for x
   x = 89,338,818,816/209,288
6. Step 6: Final answer
   x = 426,870.24