Finding the Third Proportional to 105,381 and 187,371

Step by Step Solution

1. Step 1: Write the proportion equation
   105,381 : 187,371 = 187,371 : x
2. Step 2: Convert to fraction form
   105,381/187,371 = 187,371/x
3. Step 3: Cross multiply
   105,381x = 187,371 × 187,371
4. Step 4: Simplify right side
   105,381x = 35,107,891,641
5. Step 5: Solve for x
   x = 35,107,891,641/105,381
6. Step 6: Final answer
   x = 333,152.01