Finding the Third Proportional to 153,540 and 333,306

Step by Step Solution

1. Step 1: Write the proportion equation
   153,540 : 333,306 = 333,306 : x
2. Step 2: Convert to fraction form
   153,540/333,306 = 333,306/x
3. Step 3: Cross multiply
   153,540x = 333,306 × 333,306
4. Step 4: Simplify right side
   153,540x = 111,092,889,636
5. Step 5: Solve for x
   x = 111,092,889,636/153,540
6. Step 6: Final answer
   x = 723,543.63