Finding the Third Proportional to 261,036 and 401,940

Step by Step Solution

1. Step 1: Write the proportion equation
   261,036 : 401,940 = 401,940 : x
2. Step 2: Convert to fraction form
   261,036/401,940 = 401,940/x
3. Step 3: Cross multiply
   261,036x = 401,940 × 401,940
4. Step 4: Simplify right side
   261,036x = 161,555,763,600
5. Step 5: Solve for x
   x = 161,555,763,600/261,036
6. Step 6: Final answer
   x = 618,902.23