Finding the Third Proportional to 140,972 and 206,166

Step by Step Solution

1. Step 1: Write the proportion equation
   140,972 : 206,166 = 206,166 : x
2. Step 2: Convert to fraction form
   140,972/206,166 = 206,166/x
3. Step 3: Cross multiply
   140,972x = 206,166 × 206,166
4. Step 4: Simplify right side
   140,972x = 42,504,419,556
5. Step 5: Solve for x
   x = 42,504,419,556/140,972
6. Step 6: Final answer
   x = 301,509.66