Finding the Third Proportional to 212,841 and 329,568.75

Step by Step Solution

1. Step 1: Write the proportion equation
   212,841 : 329,568.75 = 329,568.75 : x
2. Step 2: Convert to fraction form
   212,841/329,568.75 = 329,568.75/x
3. Step 3: Cross multiply
   212,841x = 329,568.75 × 329,568.75
4. Step 4: Simplify right side
   212,841x = 108,615,560,976.56
5. Step 5: Solve for x
   x = 108,615,560,976.56/212,841
6. Step 6: Final answer
   x = 510,313.15