Finding the Third Proportional to 153,342 and 333,684

Step by Step Solution

1. Step 1: Write the proportion equation
   153,342 : 333,684 = 333,684 : x
2. Step 2: Convert to fraction form
   153,342/333,684 = 333,684/x
3. Step 3: Cross multiply
   153,342x = 333,684 × 333,684
4. Step 4: Simplify right side
   153,342x = 111,345,011,856
5. Step 5: Solve for x
   x = 111,345,011,856/153,342
6. Step 6: Final answer
   x = 726,122.08