Finding the Third Proportional to 217,840 and 333,168

Step by Step Solution

1. Step 1: Write the proportion equation
   217,840 : 333,168 = 333,168 : x
2. Step 2: Convert to fraction form
   217,840/333,168 = 333,168/x
3. Step 3: Cross multiply
   217,840x = 333,168 × 333,168
4. Step 4: Simplify right side
   217,840x = 111,000,916,224
5. Step 5: Solve for x
   x = 111,000,916,224/217,840
6. Step 6: Final answer
   x = 509,552.50