Finding the Third Proportional to 91,622 and 197,096

Step by Step Solution

1. Step 1: Write the proportion equation
   91,622 : 197,096 = 197,096 : x
2. Step 2: Convert to fraction form
   91,622/197,096 = 197,096/x
3. Step 3: Cross multiply
   91,622x = 197,096 × 197,096
4. Step 4: Simplify right side
   91,622x = 38,846,833,216
5. Step 5: Solve for x
   x = 38,846,833,216/91,622
6. Step 6: Final answer
   x = 423,990.23