Finding the Third Proportional to 171,632 and 262,556

Step by Step Solution

1. Step 1: Write the proportion equation
   171,632 : 262,556 = 262,556 : x
2. Step 2: Convert to fraction form
   171,632/262,556 = 262,556/x
3. Step 3: Cross multiply
   171,632x = 262,556 × 262,556
4. Step 4: Simplify right side
   171,632x = 68,935,653,136
5. Step 5: Solve for x
   x = 68,935,653,136/171,632
6. Step 6: Final answer
   x = 401,648.02