Finding the Third Proportional to 123,629 and 186,020

Step by Step Solution

1. Step 1: Write the proportion equation
   123,629 : 186,020 = 186,020 : x
2. Step 2: Convert to fraction form
   123,629/186,020 = 186,020/x
3. Step 3: Cross multiply
   123,629x = 186,020 × 186,020
4. Step 4: Simplify right side
   123,629x = 34,603,440,400
5. Step 5: Solve for x
   x = 34,603,440,400/123,629
6. Step 6: Final answer
   x = 279,897.44