Finding the Third Proportional to 108,952 and 171,204

Step by Step Solution

1. Step 1: Write the proportion equation
   108,952 : 171,204 = 171,204 : x
2. Step 2: Convert to fraction form
   108,952/171,204 = 171,204/x
3. Step 3: Cross multiply
   108,952x = 171,204 × 171,204
4. Step 4: Simplify right side
   108,952x = 29,310,809,616
5. Step 5: Solve for x
   x = 29,310,809,616/108,952
6. Step 6: Final answer
   x = 269,024.98