Finding the Third Proportional to 154,012 and 333,296

Step by Step Solution

1. Step 1: Write the proportion equation
   154,012 : 333,296 = 333,296 : x
2. Step 2: Convert to fraction form
   154,012/333,296 = 333,296/x
3. Step 3: Cross multiply
   154,012x = 333,296 × 333,296
4. Step 4: Simplify right side
   154,012x = 111,086,223,616
5. Step 5: Solve for x
   x = 111,086,223,616/154,012
6. Step 6: Final answer
   x = 721,282.91