Finding the Third Proportional to 196,434 and 296,298

Step by Step Solution

1. Step 1: Write the proportion equation
   196,434 : 296,298 = 296,298 : x
2. Step 2: Convert to fraction form
   196,434/296,298 = 296,298/x
3. Step 3: Cross multiply
   196,434x = 296,298 × 296,298
4. Step 4: Simplify right side
   196,434x = 87,792,504,804
5. Step 5: Solve for x
   x = 87,792,504,804/196,434
6. Step 6: Final answer
   x = 446,931.31