Finding the Third Proportional to 301,522 and 409,499

Step by Step Solution

1. Step 1: Write the proportion equation
   301,522 : 409,499 = 409,499 : x
2. Step 2: Convert to fraction form
   301,522/409,499 = 409,499/x
3. Step 3: Cross multiply
   301,522x = 409,499 × 409,499
4. Step 4: Simplify right side
   301,522x = 167,689,431,001
5. Step 5: Solve for x
   x = 167,689,431,001/301,522
6. Step 6: Final answer
   x = 556,143.27