Finding the Third Proportional to 105,734 and 154,382

Step by Step Solution

1. Step 1: Write the proportion equation
   105,734 : 154,382 = 154,382 : x
2. Step 2: Convert to fraction form
   105,734/154,382 = 154,382/x
3. Step 3: Cross multiply
   105,734x = 154,382 × 154,382
4. Step 4: Simplify right side
   105,734x = 23,833,801,924
5. Step 5: Solve for x
   x = 23,833,801,924/105,734
6. Step 6: Final answer
   x = 225,412.85