Finding the Third Proportional to 91,171 and 196,922

Step by Step Solution

1. Step 1: Write the proportion equation
   91,171 : 196,922 = 196,922 : x
2. Step 2: Convert to fraction form
   91,171/196,922 = 196,922/x
3. Step 3: Cross multiply
   91,171x = 196,922 × 196,922
4. Step 4: Simplify right side
   91,171x = 38,778,274,084
5. Step 5: Solve for x
   x = 38,778,274,084/91,171
6. Step 6: Final answer
   x = 425,335.62