Finding the Third Proportional to 300,993 and 401,460

Step by Step Solution

1. Step 1: Write the proportion equation
   300,993 : 401,460 = 401,460 : x
2. Step 2: Convert to fraction form
   300,993/401,460 = 401,460/x
3. Step 3: Cross multiply
   300,993x = 401,460 × 401,460
4. Step 4: Simplify right side
   300,993x = 161,170,131,600
5. Step 5: Solve for x
   x = 161,170,131,600/300,993
6. Step 6: Final answer
   x = 535,461.39