Finding the Third Proportional to 171,924 and 262,828

Step by Step Solution

1. Step 1: Write the proportion equation
   171,924 : 262,828 = 262,828 : x
2. Step 2: Convert to fraction form
   171,924/262,828 = 262,828/x
3. Step 3: Cross multiply
   171,924x = 262,828 × 262,828
4. Step 4: Simplify right side
   171,924x = 69,078,557,584
5. Step 5: Solve for x
   x = 69,078,557,584/171,924
6. Step 6: Final answer
   x = 401,797.06