Finding the Third Proportional to 25,280 and 55,168

Step by Step Solution

1. Step 1: Write the proportion equation
   25,280 : 55,168 = 55,168 : x
2. Step 2: Convert to fraction form
   25,280/55,168 = 55,168/x
3. Step 3: Cross multiply
   25,280x = 55,168 × 55,168
4. Step 4: Simplify right side
   25,280x = 3,043,508,224
5. Step 5: Solve for x
   x = 3,043,508,224/25,280
6. Step 6: Final answer
   x = 120,391.94