Finding the Third Proportional to 55,636 and 123,710.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,636 : 123,710.75 = 123,710.75 : x
2. Step 2: Convert to fraction form
   55,636/123,710.75 = 123,710.75/x
3. Step 3: Cross multiply
   55,636x = 123,710.75 × 123,710.75
4. Step 4: Simplify right side
   55,636x = 15,304,349,665.56
5. Step 5: Solve for x
   x = 15,304,349,665.56/55,636
6. Step 6: Final answer
   x = 275,079.98