Finding the Third Proportional to 262,376 and 401,166

Step by Step Solution

1. Step 1: Write the proportion equation
   262,376 : 401,166 = 401,166 : x
2. Step 2: Convert to fraction form
   262,376/401,166 = 401,166/x
3. Step 3: Cross multiply
   262,376x = 401,166 × 401,166
4. Step 4: Simplify right side
   262,376x = 160,934,159,556
5. Step 5: Solve for x
   x = 160,934,159,556/262,376
6. Step 6: Final answer
   x = 613,372.26