Finding the Third Proportional to 105,849 and 154,320

Step by Step Solution

1. Step 1: Write the proportion equation
   105,849 : 154,320 = 154,320 : x
2. Step 2: Convert to fraction form
   105,849/154,320 = 154,320/x
3. Step 3: Cross multiply
   105,849x = 154,320 × 154,320
4. Step 4: Simplify right side
   105,849x = 23,814,662,400
5. Step 5: Solve for x
   x = 23,814,662,400/105,849
6. Step 6: Final answer
   x = 224,987.13