Finding the Third Proportional to 217,743 and 333,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,743 : 333,094.50 = 333,094.50 : x
2. Step 2: Convert to fraction form
   217,743/333,094.50 = 333,094.50/x
3. Step 3: Cross multiply
   217,743x = 333,094.50 × 333,094.50
4. Step 4: Simplify right side
   217,743x = 110,951,945,930.25
5. Step 5: Solve for x
   x = 110,951,945,930.25/217,743
6. Step 6: Final answer
   x = 509,554.59