Finding the Third Proportional to 233,732 and 333,084

Step by Step Solution

1. Step 1: Write the proportion equation
   233,732 : 333,084 = 333,084 : x
2. Step 2: Convert to fraction form
   233,732/333,084 = 333,084/x
3. Step 3: Cross multiply
   233,732x = 333,084 × 333,084
4. Step 4: Simplify right side
   233,732x = 110,944,951,056
5. Step 5: Solve for x
   x = 110,944,951,056/233,732
6. Step 6: Final answer
   x = 474,667.36