Finding the Third Proportional to 95,896 and 209,290

Step by Step Solution

1. Step 1: Write the proportion equation
   95,896 : 209,290 = 209,290 : x
2. Step 2: Convert to fraction form
   95,896/209,290 = 209,290/x
3. Step 3: Cross multiply
   95,896x = 209,290 × 209,290
4. Step 4: Simplify right side
   95,896x = 43,802,304,100
5. Step 5: Solve for x
   x = 43,802,304,100/95,896
6. Step 6: Final answer
   x = 456,768.83