Finding the Third Proportional to 123,400 and 186,618

Step by Step Solution

1. Step 1: Write the proportion equation
   123,400 : 186,618 = 186,618 : x
2. Step 2: Convert to fraction form
   123,400/186,618 = 186,618/x
3. Step 3: Cross multiply
   123,400x = 186,618 × 186,618
4. Step 4: Simplify right side
   123,400x = 34,826,277,924
5. Step 5: Solve for x
   x = 34,826,277,924/123,400
6. Step 6: Final answer
   x = 282,222.67