Finding the Third Proportional to 123,984 and 185,496

Step by Step Solution

1. Step 1: Write the proportion equation
   123,984 : 185,496 = 185,496 : x
2. Step 2: Convert to fraction form
   123,984/185,496 = 185,496/x
3. Step 3: Cross multiply
   123,984x = 185,496 × 185,496
4. Step 4: Simplify right side
   123,984x = 34,408,766,016
5. Step 5: Solve for x
   x = 34,408,766,016/123,984
6. Step 6: Final answer
   x = 277,525.86