Finding the Third Proportional to 105,736 and 154,634

Step by Step Solution

1. Step 1: Write the proportion equation
   105,736 : 154,634 = 154,634 : x
2. Step 2: Convert to fraction form
   105,736/154,634 = 154,634/x
3. Step 3: Cross multiply
   105,736x = 154,634 × 154,634
4. Step 4: Simplify right side
   105,736x = 23,911,673,956
5. Step 5: Solve for x
   x = 23,911,673,956/105,736
6. Step 6: Final answer
   x = 226,145.06