Finding the Third Proportional to 189,152 and 281,048

Step by Step Solution

1. Step 1: Write the proportion equation
   189,152 : 281,048 = 281,048 : x
2. Step 2: Convert to fraction form
   189,152/281,048 = 281,048/x
3. Step 3: Cross multiply
   189,152x = 281,048 × 281,048
4. Step 4: Simplify right side
   189,152x = 78,987,978,304
5. Step 5: Solve for x
   x = 78,987,978,304/189,152
6. Step 6: Final answer
   x = 417,589.97