Finding the Third Proportional to 55,641 and 123,723

Step by Step Solution

1. Step 1: Write the proportion equation
   55,641 : 123,723 = 123,723 : x
2. Step 2: Convert to fraction form
   55,641/123,723 = 123,723/x
3. Step 3: Cross multiply
   55,641x = 123,723 × 123,723
4. Step 4: Simplify right side
   55,641x = 15,307,380,729
5. Step 5: Solve for x
   x = 15,307,380,729/55,641
6. Step 6: Final answer
   x = 275,109.73