Finding the Third Proportional to 55,638 and 123,729.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,638 : 123,729.75 = 123,729.75 : x
2. Step 2: Convert to fraction form
   55,638/123,729.75 = 123,729.75/x
3. Step 3: Cross multiply
   55,638x = 123,729.75 × 123,729.75
4. Step 4: Simplify right side
   55,638x = 15,309,051,035.06
5. Step 5: Solve for x
   x = 15,309,051,035.06/55,638
6. Step 6: Final answer
   x = 275,154.59