Finding the Third Proportional to 102,456 and 158,228

Step by Step Solution

1. Step 1: Write the proportion equation
   102,456 : 158,228 = 158,228 : x
2. Step 2: Convert to fraction form
   102,456/158,228 = 158,228/x
3. Step 3: Cross multiply
   102,456x = 158,228 × 158,228
4. Step 4: Simplify right side
   102,456x = 25,036,099,984
5. Step 5: Solve for x
   x = 25,036,099,984/102,456
6. Step 6: Final answer
   x = 244,359.53