Finding the Third Proportional to 25,258 and 53,178

Step by Step Solution

1. Step 1: Write the proportion equation
   25,258 : 53,178 = 53,178 : x
2. Step 2: Convert to fraction form
   25,258/53,178 = 53,178/x
3. Step 3: Cross multiply
   25,258x = 53,178 × 53,178
4. Step 4: Simplify right side
   25,258x = 2,827,899,684
5. Step 5: Solve for x
   x = 2,827,899,684/25,258
6. Step 6: Final answer
   x = 111,960.55