Finding the Third Proportional to 55,644 and 123,729

Step by Step Solution

1. Step 1: Write the proportion equation
   55,644 : 123,729 = 123,729 : x
2. Step 2: Convert to fraction form
   55,644/123,729 = 123,729/x
3. Step 3: Cross multiply
   55,644x = 123,729 × 123,729
4. Step 4: Simplify right side
   55,644x = 15,308,865,441
5. Step 5: Solve for x
   x = 15,308,865,441/55,644
6. Step 6: Final answer
   x = 275,121.58