Finding the Third Proportional to 25,198 and 55,402

Step by Step Solution

1. Step 1: Write the proportion equation
   25,198 : 55,402 = 55,402 : x
2. Step 2: Convert to fraction form
   25,198/55,402 = 55,402/x
3. Step 3: Cross multiply
   25,198x = 55,402 × 55,402
4. Step 4: Simplify right side
   25,198x = 3,069,381,604
5. Step 5: Solve for x
   x = 3,069,381,604/25,198
6. Step 6: Final answer
   x = 121,810.52