Finding the Third Proportional to 301,431 and 410,500

Step by Step Solution

1. Step 1: Write the proportion equation
   301,431 : 410,500 = 410,500 : x
2. Step 2: Convert to fraction form
   301,431/410,500 = 410,500/x
3. Step 3: Cross multiply
   301,431x = 410,500 × 410,500
4. Step 4: Simplify right side
   301,431x = 168,510,250,000
5. Step 5: Solve for x
   x = 168,510,250,000/301,431
6. Step 6: Final answer
   x = 559,034.24