Finding the Third Proportional to 55,634 and 123,707

Step by Step Solution

1. Step 1: Write the proportion equation
   55,634 : 123,707 = 123,707 : x
2. Step 2: Convert to fraction form
   55,634/123,707 = 123,707/x
3. Step 3: Cross multiply
   55,634x = 123,707 × 123,707
4. Step 4: Simplify right side
   55,634x = 15,303,421,849
5. Step 5: Solve for x
   x = 15,303,421,849/55,634
6. Step 6: Final answer
   x = 275,073.19