Finding the Third Proportional to 153,478 and 333,204

Step by Step Solution

1. Step 1: Write the proportion equation
   153,478 : 333,204 = 333,204 : x
2. Step 2: Convert to fraction form
   153,478/333,204 = 333,204/x
3. Step 3: Cross multiply
   153,478x = 333,204 × 333,204
4. Step 4: Simplify right side
   153,478x = 111,024,905,616
5. Step 5: Solve for x
   x = 111,024,905,616/153,478
6. Step 6: Final answer
   x = 723,392.97