Finding the Third Proportional to 105,738 and 154,636

Step by Step Solution

1. Step 1: Write the proportion equation
   105,738 : 154,636 = 154,636 : x
2. Step 2: Convert to fraction form
   105,738/154,636 = 154,636/x
3. Step 3: Cross multiply
   105,738x = 154,636 × 154,636
4. Step 4: Simplify right side
   105,738x = 23,912,292,496
5. Step 5: Solve for x
   x = 23,912,292,496/105,738
6. Step 6: Final answer
   x = 226,146.63