Finding the Third Proportional to 217,836 and 333,162

Step by Step Solution

1. Step 1: Write the proportion equation
   217,836 : 333,162 = 333,162 : x
2. Step 2: Convert to fraction form
   217,836/333,162 = 333,162/x
3. Step 3: Cross multiply
   217,836x = 333,162 × 333,162
4. Step 4: Simplify right side
   217,836x = 110,996,918,244
5. Step 5: Solve for x
   x = 110,996,918,244/217,836
6. Step 6: Final answer
   x = 509,543.50