Finding the Third Proportional to 105,384 and 187,380

Step by Step Solution

1. Step 1: Write the proportion equation
   105,384 : 187,380 = 187,380 : x
2. Step 2: Convert to fraction form
   105,384/187,380 = 187,380/x
3. Step 3: Cross multiply
   105,384x = 187,380 × 187,380
4. Step 4: Simplify right side
   105,384x = 35,111,264,400
5. Step 5: Solve for x
   x = 35,111,264,400/105,384
6. Step 6: Final answer
   x = 333,174.53