Finding the Third Proportional to 91,161 and 196,902

Step by Step Solution

1. Step 1: Write the proportion equation
   91,161 : 196,902 = 196,902 : x
2. Step 2: Convert to fraction form
   91,161/196,902 = 196,902/x
3. Step 3: Cross multiply
   91,161x = 196,902 × 196,902
4. Step 4: Simplify right side
   91,161x = 38,770,397,604
5. Step 5: Solve for x
   x = 38,770,397,604/91,161
6. Step 6: Final answer
   x = 425,295.88