Finding the Third Proportional to 105,386 and 187,384

Step by Step Solution

1. Step 1: Write the proportion equation
   105,386 : 187,384 = 187,384 : x
2. Step 2: Convert to fraction form
   105,386/187,384 = 187,384/x
3. Step 3: Cross multiply
   105,386x = 187,384 × 187,384
4. Step 4: Simplify right side
   105,386x = 35,112,763,456
5. Step 5: Solve for x
   x = 35,112,763,456/105,386
6. Step 6: Final answer
   x = 333,182.43