Finding the Third Proportional to 162,894 and 229,386

Step by Step Solution

1. Step 1: Write the proportion equation
   162,894 : 229,386 = 229,386 : x
2. Step 2: Convert to fraction form
   162,894/229,386 = 229,386/x
3. Step 3: Cross multiply
   162,894x = 229,386 × 229,386
4. Step 4: Simplify right side
   162,894x = 52,617,936,996
5. Step 5: Solve for x
   x = 52,617,936,996/162,894
6. Step 6: Final answer
   x = 323,019.49