Finding the Third Proportional to 55,635 and 123,708.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,635 : 123,708.75 = 123,708.75 : x
2. Step 2: Convert to fraction form
   55,635/123,708.75 = 123,708.75/x
3. Step 3: Cross multiply
   55,635x = 123,708.75 × 123,708.75
4. Step 4: Simplify right side
   55,635x = 15,303,854,826.56
5. Step 5: Solve for x
   x = 15,303,854,826.56/55,635
6. Step 6: Final answer
   x = 275,076.03