Finding the Third Proportional to 105,815 and 154,740

Step by Step Solution

1. Step 1: Write the proportion equation
   105,815 : 154,740 = 154,740 : x
2. Step 2: Convert to fraction form
   105,815/154,740 = 154,740/x
3. Step 3: Cross multiply
   105,815x = 154,740 × 154,740
4. Step 4: Simplify right side
   105,815x = 23,944,467,600
5. Step 5: Solve for x
   x = 23,944,467,600/105,815
6. Step 6: Final answer
   x = 226,286.14