Finding the Third Proportional to 91,972 and 196,166

Step by Step Solution

1. Step 1: Write the proportion equation
   91,972 : 196,166 = 196,166 : x
2. Step 2: Convert to fraction form
   91,972/196,166 = 196,166/x
3. Step 3: Cross multiply
   91,972x = 196,166 × 196,166
4. Step 4: Simplify right side
   91,972x = 38,481,099,556
5. Step 5: Solve for x
   x = 38,481,099,556/91,972
6. Step 6: Final answer
   x = 418,400.16