Finding the Third Proportional to 233,938 and 333,410

Step by Step Solution

1. Step 1: Write the proportion equation
   233,938 : 333,410 = 333,410 : x
2. Step 2: Convert to fraction form
   233,938/333,410 = 333,410/x
3. Step 3: Cross multiply
   233,938x = 333,410 × 333,410
4. Step 4: Simplify right side
   233,938x = 111,162,228,100
5. Step 5: Solve for x
   x = 111,162,228,100/233,938
6. Step 6: Final answer
   x = 475,178.16