Finding the Third Proportional to 105,727 and 154,621

Step by Step Solution

1. Step 1: Write the proportion equation
   105,727 : 154,621 = 154,621 : x
2. Step 2: Convert to fraction form
   105,727/154,621 = 154,621/x
3. Step 3: Cross multiply
   105,727x = 154,621 × 154,621
4. Step 4: Simplify right side
   105,727x = 23,907,653,641
5. Step 5: Solve for x
   x = 23,907,653,641/105,727
6. Step 6: Final answer
   x = 226,126.28