Finding the Third Proportional to 105,382 and 187,373

Step by Step Solution

1. Step 1: Write the proportion equation
   105,382 : 187,373 = 187,373 : x
2. Step 2: Convert to fraction form
   105,382/187,373 = 187,373/x
3. Step 3: Cross multiply
   105,382x = 187,373 × 187,373
4. Step 4: Simplify right side
   105,382x = 35,108,641,129
5. Step 5: Solve for x
   x = 35,108,641,129/105,382
6. Step 6: Final answer
   x = 333,155.96