Finding the Third Proportional to 123,388 and 185,994

Step by Step Solution

1. Step 1: Write the proportion equation
   123,388 : 185,994 = 185,994 : x
2. Step 2: Convert to fraction form
   123,388/185,994 = 185,994/x
3. Step 3: Cross multiply
   123,388x = 185,994 × 185,994
4. Step 4: Simplify right side
   123,388x = 34,593,768,036
5. Step 5: Solve for x
   x = 34,593,768,036/123,388
6. Step 6: Final answer
   x = 280,365.74