Finding the Third Proportional to 153,504 and 333,504

Step by Step Solution

1. Step 1: Write the proportion equation
   153,504 : 333,504 = 333,504 : x
2. Step 2: Convert to fraction form
   153,504/333,504 = 333,504/x
3. Step 3: Cross multiply
   153,504x = 333,504 × 333,504
4. Step 4: Simplify right side
   153,504x = 111,224,918,016
5. Step 5: Solve for x
   x = 111,224,918,016/153,504
6. Step 6: Final answer
   x = 724,573.42