Finding the Third Proportional to 123,674 and 187,867

Step by Step Solution

1. Step 1: Write the proportion equation
   123,674 : 187,867 = 187,867 : x
2. Step 2: Convert to fraction form
   123,674/187,867 = 187,867/x
3. Step 3: Cross multiply
   123,674x = 187,867 × 187,867
4. Step 4: Simplify right side
   123,674x = 35,294,009,689
5. Step 5: Solve for x
   x = 35,294,009,689/123,674
6. Step 6: Final answer
   x = 285,379.38