Finding the Third Proportional to 71,944 and 158,166

Step by Step Solution

1. Step 1: Write the proportion equation
   71,944 : 158,166 = 158,166 : x
2. Step 2: Convert to fraction form
   71,944/158,166 = 158,166/x
3. Step 3: Cross multiply
   71,944x = 158,166 × 158,166
4. Step 4: Simplify right side
   71,944x = 25,016,483,556
5. Step 5: Solve for x
   x = 25,016,483,556/71,944
6. Step 6: Final answer
   x = 347,721.61