Finding the Third Proportional to 55,422 and 105,741

Step by Step Solution

1. Step 1: Write the proportion equation
   55,422 : 105,741 = 105,741 : x
2. Step 2: Convert to fraction form
   55,422/105,741 = 105,741/x
3. Step 3: Cross multiply
   55,422x = 105,741 × 105,741
4. Step 4: Simplify right side
   55,422x = 11,181,159,081
5. Step 5: Solve for x
   x = 11,181,159,081/55,422
6. Step 6: Final answer
   x = 201,745.86