Finding the Third Proportional to 105,393 and 187,395

Step by Step Solution

1. Step 1: Write the proportion equation
   105,393 : 187,395 = 187,395 : x
2. Step 2: Convert to fraction form
   105,393/187,395 = 187,395/x
3. Step 3: Cross multiply
   105,393x = 187,395 × 187,395
4. Step 4: Simplify right side
   105,393x = 35,116,886,025
5. Step 5: Solve for x
   x = 35,116,886,025/105,393
6. Step 6: Final answer
   x = 333,199.42