Finding the Third Proportional to 146,065 and 225,546

Step by Step Solution

1. Step 1: Write the proportion equation
   146,065 : 225,546 = 225,546 : x
2. Step 2: Convert to fraction form
   146,065/225,546 = 225,546/x
3. Step 3: Cross multiply
   146,065x = 225,546 × 225,546
4. Step 4: Simplify right side
   146,065x = 50,870,998,116
5. Step 5: Solve for x
   x = 50,870,998,116/146,065
6. Step 6: Final answer
   x = 348,276.44