Finding the Third Proportional to 217,748 and 333,105

Step by Step Solution

1. Step 1: Write the proportion equation
   217,748 : 333,105 = 333,105 : x
2. Step 2: Convert to fraction form
   217,748/333,105 = 333,105/x
3. Step 3: Cross multiply
   217,748x = 333,105 × 333,105
4. Step 4: Simplify right side
   217,748x = 110,958,941,025
5. Step 5: Solve for x
   x = 110,958,941,025/217,748
6. Step 6: Final answer
   x = 509,575.02