Finding the Third Proportional to 146,528 and 281,384

Step by Step Solution

1. Step 1: Write the proportion equation
   146,528 : 281,384 = 281,384 : x
2. Step 2: Convert to fraction form
   146,528/281,384 = 281,384/x
3. Step 3: Cross multiply
   146,528x = 281,384 × 281,384
4. Step 4: Simplify right side
   146,528x = 79,176,955,456
5. Step 5: Solve for x
   x = 79,176,955,456/146,528
6. Step 6: Final answer
   x = 540,353.76