Finding the Third Proportional to 162,729 and 333,386

Step by Step Solution

1. Step 1: Write the proportion equation
   162,729 : 333,386 = 333,386 : x
2. Step 2: Convert to fraction form
   162,729/333,386 = 333,386/x
3. Step 3: Cross multiply
   162,729x = 333,386 × 333,386
4. Step 4: Simplify right side
   162,729x = 111,146,224,996
5. Step 5: Solve for x
   x = 111,146,224,996/162,729
6. Step 6: Final answer
   x = 683,014.24