Finding the Third Proportional to 231,019 and 345,588

Step by Step Solution

1. Step 1: Write the proportion equation
   231,019 : 345,588 = 345,588 : x
2. Step 2: Convert to fraction form
   231,019/345,588 = 345,588/x
3. Step 3: Cross multiply
   231,019x = 345,588 × 345,588
4. Step 4: Simplify right side
   231,019x = 119,431,065,744
5. Step 5: Solve for x
   x = 119,431,065,744/231,019
6. Step 6: Final answer
   x = 516,975.08