Finding the Third Proportional to 55,641 and 123,720

Step by Step Solution

1. Step 1: Write the proportion equation
   55,641 : 123,720 = 123,720 : x
2. Step 2: Convert to fraction form
   55,641/123,720 = 123,720/x
3. Step 3: Cross multiply
   55,641x = 123,720 × 123,720
4. Step 4: Simplify right side
   55,641x = 15,306,638,400
5. Step 5: Solve for x
   x = 15,306,638,400/55,641
6. Step 6: Final answer
   x = 275,096.39