Finding the Third Proportional to 123,576 and 187,734

Step by Step Solution

1. Step 1: Write the proportion equation
   123,576 : 187,734 = 187,734 : x
2. Step 2: Convert to fraction form
   123,576/187,734 = 187,734/x
3. Step 3: Cross multiply
   123,576x = 187,734 × 187,734
4. Step 4: Simplify right side
   123,576x = 35,244,054,756
5. Step 5: Solve for x
   x = 35,244,054,756/123,576
6. Step 6: Final answer
   x = 285,201.45