Finding the Third Proportional to 217,968 and 333,288

Step by Step Solution

1. Step 1: Write the proportion equation
   217,968 : 333,288 = 333,288 : x
2. Step 2: Convert to fraction form
   217,968/333,288 = 333,288/x
3. Step 3: Cross multiply
   217,968x = 333,288 × 333,288
4. Step 4: Simplify right side
   217,968x = 111,080,890,944
5. Step 5: Solve for x
   x = 111,080,890,944/217,968
6. Step 6: Final answer
   x = 509,620.18