Finding the Third Proportional to 155,596 and 171,636

Step by Step Solution

1. Step 1: Write the proportion equation
   155,596 : 171,636 = 171,636 : x
2. Step 2: Convert to fraction form
   155,596/171,636 = 171,636/x
3. Step 3: Cross multiply
   155,596x = 171,636 × 171,636
4. Step 4: Simplify right side
   155,596x = 29,458,916,496
5. Step 5: Solve for x
   x = 29,458,916,496/155,596
6. Step 6: Final answer
   x = 189,329.52