Finding the Third Proportional to 91,586 and 196,960

Step by Step Solution

1. Step 1: Write the proportion equation
   91,586 : 196,960 = 196,960 : x
2. Step 2: Convert to fraction form
   91,586/196,960 = 196,960/x
3. Step 3: Cross multiply
   91,586x = 196,960 × 196,960
4. Step 4: Simplify right side
   91,586x = 38,793,241,600
5. Step 5: Solve for x
   x = 38,793,241,600/91,586
6. Step 6: Final answer
   x = 423,571.74