Finding the Third Proportional to 233,947 and 333,424

Step by Step Solution

1. Step 1: Write the proportion equation
   233,947 : 333,424 = 333,424 : x
2. Step 2: Convert to fraction form
   233,947/333,424 = 333,424/x
3. Step 3: Cross multiply
   233,947x = 333,424 × 333,424
4. Step 4: Simplify right side
   233,947x = 111,171,563,776
5. Step 5: Solve for x
   x = 111,171,563,776/233,947
6. Step 6: Final answer
   x = 475,199.78