Finding the Third Proportional to 196,768 and 297,496

Step by Step Solution

1. Step 1: Write the proportion equation
   196,768 : 297,496 = 297,496 : x
2. Step 2: Convert to fraction form
   196,768/297,496 = 297,496/x
3. Step 3: Cross multiply
   196,768x = 297,496 × 297,496
4. Step 4: Simplify right side
   196,768x = 88,503,870,016
5. Step 5: Solve for x
   x = 88,503,870,016/196,768
6. Step 6: Final answer
   x = 449,787.92