Finding the Third Proportional to 171,910 and 262,806

Step by Step Solution

1. Step 1: Write the proportion equation
   171,910 : 262,806 = 262,806 : x
2. Step 2: Convert to fraction form
   171,910/262,806 = 262,806/x
3. Step 3: Cross multiply
   171,910x = 262,806 × 262,806
4. Step 4: Simplify right side
   171,910x = 69,066,993,636
5. Step 5: Solve for x
   x = 69,066,993,636/171,910
6. Step 6: Final answer
   x = 401,762.51