Finding the Third Proportional to 123,628 and 185,442

Step by Step Solution

1. Step 1: Write the proportion equation
   123,628 : 185,442 = 185,442 : x
2. Step 2: Convert to fraction form
   123,628/185,442 = 185,442/x
3. Step 3: Cross multiply
   123,628x = 185,442 × 185,442
4. Step 4: Simplify right side
   123,628x = 34,388,735,364
5. Step 5: Solve for x
   x = 34,388,735,364/123,628
6. Step 6: Final answer
   x = 278,163