Finding the Third Proportional to 123,456 and 174,804

Step by Step Solution

1. Step 1: Write the proportion equation
   123,456 : 174,804 = 174,804 : x
2. Step 2: Convert to fraction form
   123,456/174,804 = 174,804/x
3. Step 3: Cross multiply
   123,456x = 174,804 × 174,804
4. Step 4: Simplify right side
   123,456x = 30,556,438,416
5. Step 5: Solve for x
   x = 30,556,438,416/123,456
6. Step 6: Final answer
   x = 247,508.74