Finding the Third Proportional to 153,007 and 333,231

Step by Step Solution

1. Step 1: Write the proportion equation
   153,007 : 333,231 = 333,231 : x
2. Step 2: Convert to fraction form
   153,007/333,231 = 333,231/x
3. Step 3: Cross multiply
   153,007x = 333,231 × 333,231
4. Step 4: Simplify right side
   153,007x = 111,042,899,361
5. Step 5: Solve for x
   x = 111,042,899,361/153,007
6. Step 6: Final answer
   x = 725,737.38