Finding the Third Proportional to 22,779 and 53,204

Step by Step Solution

1. Step 1: Write the proportion equation
   22,779 : 53,204 = 53,204 : x
2. Step 2: Convert to fraction form
   22,779/53,204 = 53,204/x
3. Step 3: Cross multiply
   22,779x = 53,204 × 53,204
4. Step 4: Simplify right side
   22,779x = 2,830,665,616
5. Step 5: Solve for x
   x = 2,830,665,616/22,779
6. Step 6: Final answer
   x = 124,266.46