Finding the Third Proportional to 105,576 and 154,902

Step by Step Solution

1. Step 1: Write the proportion equation
   105,576 : 154,902 = 154,902 : x
2. Step 2: Convert to fraction form
   105,576/154,902 = 154,902/x
3. Step 3: Cross multiply
   105,576x = 154,902 × 154,902
4. Step 4: Simplify right side
   105,576x = 23,994,629,604
5. Step 5: Solve for x
   x = 23,994,629,604/105,576
6. Step 6: Final answer
   x = 227,273.52