Finding the Third Proportional to 186,036 and 269,976

Step by Step Solution

1. Step 1: Write the proportion equation
   186,036 : 269,976 = 269,976 : x
2. Step 2: Convert to fraction form
   186,036/269,976 = 269,976/x
3. Step 3: Cross multiply
   186,036x = 269,976 × 269,976
4. Step 4: Simplify right side
   186,036x = 72,887,040,576
5. Step 5: Solve for x
   x = 72,887,040,576/186,036
6. Step 6: Final answer
   x = 391,789.98