Finding the Third Proportional to 333,168 and 512,496

Step by Step Solution

1. Step 1: Write the proportion equation
   333,168 : 512,496 = 512,496 : x
2. Step 2: Convert to fraction form
   333,168/512,496 = 512,496/x
3. Step 3: Cross multiply
   333,168x = 512,496 × 512,496
4. Step 4: Simplify right side
   333,168x = 262,652,150,016
5. Step 5: Solve for x
   x = 262,652,150,016/333,168
6. Step 6: Final answer
   x = 788,347.47