Finding the Third Proportional to 172,832 and 261,662

Step by Step Solution

1. Step 1: Write the proportion equation
   172,832 : 261,662 = 261,662 : x
2. Step 2: Convert to fraction form
   172,832/261,662 = 261,662/x
3. Step 3: Cross multiply
   172,832x = 261,662 × 261,662
4. Step 4: Simplify right side
   172,832x = 68,467,002,244
5. Step 5: Solve for x
   x = 68,467,002,244/172,832
6. Step 6: Final answer
   x = 396,147.72