Finding the Third Proportional to 25,334 and 55,204

Step by Step Solution

1. Step 1: Write the proportion equation
   25,334 : 55,204 = 55,204 : x
2. Step 2: Convert to fraction form
   25,334/55,204 = 55,204/x
3. Step 3: Cross multiply
   25,334x = 55,204 × 55,204
4. Step 4: Simplify right side
   25,334x = 3,047,481,616
5. Step 5: Solve for x
   x = 3,047,481,616/25,334
6. Step 6: Final answer
   x = 120,292.16