Finding the Third Proportional to 301,431 and 410,499

Step by Step Solution

1. Step 1: Write the proportion equation
   301,431 : 410,499 = 410,499 : x
2. Step 2: Convert to fraction form
   301,431/410,499 = 410,499/x
3. Step 3: Cross multiply
   301,431x = 410,499 × 410,499
4. Step 4: Simplify right side
   301,431x = 168,509,429,001
5. Step 5: Solve for x
   x = 168,509,429,001/301,431
6. Step 6: Final answer
   x = 559,031.52