Finding the Third Proportional to 55,441 and 105,779

Step by Step Solution

1. Step 1: Write the proportion equation
   55,441 : 105,779 = 105,779 : x
2. Step 2: Convert to fraction form
   55,441/105,779 = 105,779/x
3. Step 3: Cross multiply
   55,441x = 105,779 × 105,779
4. Step 4: Simplify right side
   55,441x = 11,189,196,841
5. Step 5: Solve for x
   x = 11,189,196,841/55,441
6. Step 6: Final answer
   x = 201,821.70