Finding the Third Proportional to 333,456 and 476,496

Step by Step Solution

1. Step 1: Write the proportion equation
   333,456 : 476,496 = 476,496 : x
2. Step 2: Convert to fraction form
   333,456/476,496 = 476,496/x
3. Step 3: Cross multiply
   333,456x = 476,496 × 476,496
4. Step 4: Simplify right side
   333,456x = 227,048,438,016
5. Step 5: Solve for x
   x = 227,048,438,016/333,456
6. Step 6: Final answer
   x = 680,894.74