Finding the Third Proportional to 146,530 and 281,388

Step by Step Solution

1. Step 1: Write the proportion equation
   146,530 : 281,388 = 281,388 : x
2. Step 2: Convert to fraction form
   146,530/281,388 = 281,388/x
3. Step 3: Cross multiply
   146,530x = 281,388 × 281,388
4. Step 4: Simplify right side
   146,530x = 79,179,206,544
5. Step 5: Solve for x
   x = 79,179,206,544/146,530
6. Step 6: Final answer
   x = 540,361.75