Finding the Third Proportional to 95,949 and 209,364

Step by Step Solution

1. Step 1: Write the proportion equation
   95,949 : 209,364 = 209,364 : x
2. Step 2: Convert to fraction form
   95,949/209,364 = 209,364/x
3. Step 3: Cross multiply
   95,949x = 209,364 × 209,364
4. Step 4: Simplify right side
   95,949x = 43,833,284,496
5. Step 5: Solve for x
   x = 43,833,284,496/95,949
6. Step 6: Final answer
   x = 456,839.41