Finding the Third Proportional to 91,806 and 194,640

Step by Step Solution

1. Step 1: Write the proportion equation
   91,806 : 194,640 = 194,640 : x
2. Step 2: Convert to fraction form
   91,806/194,640 = 194,640/x
3. Step 3: Cross multiply
   91,806x = 194,640 × 194,640
4. Step 4: Simplify right side
   91,806x = 37,884,729,600
5. Step 5: Solve for x
   x = 37,884,729,600/91,806
6. Step 6: Final answer
   x = 412,660.71