Finding the Third Proportional to 301,416 and 410,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,416 : 410,464.50 = 410,464.50 : x
2. Step 2: Convert to fraction form
   301,416/410,464.50 = 410,464.50/x
3. Step 3: Cross multiply
   301,416x = 410,464.50 × 410,464.50
4. Step 4: Simplify right side
   301,416x = 168,481,105,760.25
5. Step 5: Solve for x
   x = 168,481,105,760.25/301,416
6. Step 6: Final answer
   x = 558,965.37