Finding the Third Proportional to 25,196 and 55,166

Step by Step Solution

1. Step 1: Write the proportion equation
   25,196 : 55,166 = 55,166 : x
2. Step 2: Convert to fraction form
   25,196/55,166 = 55,166/x
3. Step 3: Cross multiply
   25,196x = 55,166 × 55,166
4. Step 4: Simplify right side
   25,196x = 3,043,287,556
5. Step 5: Solve for x
   x = 3,043,287,556/25,196
6. Step 6: Final answer
   x = 120,784.55