Finding the Third Proportional to 105,393 and 154,144

Step by Step Solution

1. Step 1: Write the proportion equation
   105,393 : 154,144 = 154,144 : x
2. Step 2: Convert to fraction form
   105,393/154,144 = 154,144/x
3. Step 3: Cross multiply
   105,393x = 154,144 × 154,144
4. Step 4: Simplify right side
   105,393x = 23,760,372,736
5. Step 5: Solve for x
   x = 23,760,372,736/105,393
6. Step 6: Final answer
   x = 225,445.45