Finding the Third Proportional to 105,382 and 187,372

Step by Step Solution

1. Step 1: Write the proportion equation
   105,382 : 187,372 = 187,372 : x
2. Step 2: Convert to fraction form
   105,382/187,372 = 187,372/x
3. Step 3: Cross multiply
   105,382x = 187,372 × 187,372
4. Step 4: Simplify right side
   105,382x = 35,108,266,384
5. Step 5: Solve for x
   x = 35,108,266,384/105,382
6. Step 6: Final answer
   x = 333,152.40