Finding the Third Proportional to 153,349 and 333,698

Step by Step Solution

1. Step 1: Write the proportion equation
   153,349 : 333,698 = 333,698 : x
2. Step 2: Convert to fraction form
   153,349/333,698 = 333,698/x
3. Step 3: Cross multiply
   153,349x = 333,698 × 333,698
4. Step 4: Simplify right side
   153,349x = 111,354,355,204
5. Step 5: Solve for x
   x = 111,354,355,204/153,349
6. Step 6: Final answer
   x = 726,149.86