Finding the Third Proportional to 95,947 and 209,065

Step by Step Solution

1. Step 1: Write the proportion equation
   95,947 : 209,065 = 209,065 : x
2. Step 2: Convert to fraction form
   95,947/209,065 = 209,065/x
3. Step 3: Cross multiply
   95,947x = 209,065 × 209,065
4. Step 4: Simplify right side
   95,947x = 43,708,174,225
5. Step 5: Solve for x
   x = 43,708,174,225/95,947
6. Step 6: Final answer
   x = 455,544.98