Finding the Third Proportional to 217,824 and 333,144

Step by Step Solution

1. Step 1: Write the proportion equation
   217,824 : 333,144 = 333,144 : x
2. Step 2: Convert to fraction form
   217,824/333,144 = 333,144/x
3. Step 3: Cross multiply
   217,824x = 333,144 × 333,144
4. Step 4: Simplify right side
   217,824x = 110,984,924,736
5. Step 5: Solve for x
   x = 110,984,924,736/217,824
6. Step 6: Final answer
   x = 509,516.51