Finding the Third Proportional to 55,648 and 123,736

Step by Step Solution

1. Step 1: Write the proportion equation
   55,648 : 123,736 = 123,736 : x
2. Step 2: Convert to fraction form
   55,648/123,736 = 123,736/x
3. Step 3: Cross multiply
   55,648x = 123,736 × 123,736
4. Step 4: Simplify right side
   55,648x = 15,310,597,696
5. Step 5: Solve for x
   x = 15,310,597,696/55,648
6. Step 6: Final answer
   x = 275,132.94