Finding the Third Proportional to 217,914 and 326,859.75

Step by Step Solution

1. Step 1: Write the proportion equation
   217,914 : 326,859.75 = 326,859.75 : x
2. Step 2: Convert to fraction form
   217,914/326,859.75 = 326,859.75/x
3. Step 3: Cross multiply
   217,914x = 326,859.75 × 326,859.75
4. Step 4: Simplify right side
   217,914x = 106,837,296,170.06
5. Step 5: Solve for x
   x = 106,837,296,170.06/217,914
6. Step 6: Final answer
   x = 490,272.75