Finding the Third Proportional to 57,274 and 116,166

Step by Step Solution

1. Step 1: Write the proportion equation
   57,274 : 116,166 = 116,166 : x
2. Step 2: Convert to fraction form
   57,274/116,166 = 116,166/x
3. Step 3: Cross multiply
   57,274x = 116,166 × 116,166
4. Step 4: Simplify right side
   57,274x = 13,494,539,556
5. Step 5: Solve for x
   x = 13,494,539,556/57,274
6. Step 6: Final answer
   x = 235,613.71