Finding the Third Proportional to 123,686 and 187,889

Step by Step Solution

1. Step 1: Write the proportion equation
   123,686 : 187,889 = 187,889 : x
2. Step 2: Convert to fraction form
   123,686/187,889 = 187,889/x
3. Step 3: Cross multiply
   123,686x = 187,889 × 187,889
4. Step 4: Simplify right side
   123,686x = 35,302,276,321
5. Step 5: Solve for x
   x = 35,302,276,321/123,686
6. Step 6: Final answer
   x = 285,418.53