Finding the Third Proportional to 105,387 and 187,383

Step by Step Solution

1. Step 1: Write the proportion equation
   105,387 : 187,383 = 187,383 : x
2. Step 2: Convert to fraction form
   105,387/187,383 = 187,383/x
3. Step 3: Cross multiply
   105,387x = 187,383 × 187,383
4. Step 4: Simplify right side
   105,387x = 35,112,388,689
5. Step 5: Solve for x
   x = 35,112,388,689/105,387
6. Step 6: Final answer
   x = 333,175.71