Finding the Third Proportional to 55,635 and 123,709

Step by Step Solution

1. Step 1: Write the proportion equation
   55,635 : 123,709 = 123,709 : x
2. Step 2: Convert to fraction form
   55,635/123,709 = 123,709/x
3. Step 3: Cross multiply
   55,635x = 123,709 × 123,709
4. Step 4: Simplify right side
   55,635x = 15,303,916,681
5. Step 5: Solve for x
   x = 15,303,916,681/55,635
6. Step 6: Final answer
   x = 275,077.14