Finding the Third Proportional to 55,653 and 123,747

Step by Step Solution

1. Step 1: Write the proportion equation
   55,653 : 123,747 = 123,747 : x
2. Step 2: Convert to fraction form
   55,653/123,747 = 123,747/x
3. Step 3: Cross multiply
   55,653x = 123,747 × 123,747
4. Step 4: Simplify right side
   55,653x = 15,313,320,009
5. Step 5: Solve for x
   x = 15,313,320,009/55,653
6. Step 6: Final answer
   x = 275,157.13