Finding the Third Proportional to 217,296 and 335,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,296 : 335,785.50 = 335,785.50 : x
2. Step 2: Convert to fraction form
   217,296/335,785.50 = 335,785.50/x
3. Step 3: Cross multiply
   217,296x = 335,785.50 × 335,785.50
4. Step 4: Simplify right side
   217,296x = 112,751,902,010.25
5. Step 5: Solve for x
   x = 112,751,902,010.25/217,296
6. Step 6: Final answer
   x = 518,886.23