Finding the Third Proportional to 55,639 and 123,716

Step by Step Solution

1. Step 1: Write the proportion equation
   55,639 : 123,716 = 123,716 : x
2. Step 2: Convert to fraction form
   55,639/123,716 = 123,716/x
3. Step 3: Cross multiply
   55,639x = 123,716 × 123,716
4. Step 4: Simplify right side
   55,639x = 15,305,648,656
5. Step 5: Solve for x
   x = 15,305,648,656/55,639
6. Step 6: Final answer
   x = 275,088.49