Finding the Third Proportional to 53,779 and 111,013

Step by Step Solution

1. Step 1: Write the proportion equation
   53,779 : 111,013 = 111,013 : x
2. Step 2: Convert to fraction form
   53,779/111,013 = 111,013/x
3. Step 3: Cross multiply
   53,779x = 111,013 × 111,013
4. Step 4: Simplify right side
   53,779x = 12,323,886,169
5. Step 5: Solve for x
   x = 12,323,886,169/53,779
6. Step 6: Final answer
   x = 229,157.96