Finding the Third Proportional to 123,986 and 185,499

Step by Step Solution

1. Step 1: Write the proportion equation
   123,986 : 185,499 = 185,499 : x
2. Step 2: Convert to fraction form
   123,986/185,499 = 185,499/x
3. Step 3: Cross multiply
   123,986x = 185,499 × 185,499
4. Step 4: Simplify right side
   123,986x = 34,409,879,001
5. Step 5: Solve for x
   x = 34,409,879,001/123,986
6. Step 6: Final answer
   x = 277,530.36