Finding the Third Proportional to 162,729 and 333,385

Step by Step Solution

1. Step 1: Write the proportion equation
   162,729 : 333,385 = 333,385 : x
2. Step 2: Convert to fraction form
   162,729/333,385 = 333,385/x
3. Step 3: Cross multiply
   162,729x = 333,385 × 333,385
4. Step 4: Simplify right side
   162,729x = 111,145,558,225
5. Step 5: Solve for x
   x = 111,145,558,225/162,729
6. Step 6: Final answer
   x = 683,010.15