Finding the Third Proportional to 152,667 and 331,596

Step by Step Solution

1. Step 1: Write the proportion equation
   152,667 : 331,596 = 331,596 : x
2. Step 2: Convert to fraction form
   152,667/331,596 = 331,596/x
3. Step 3: Cross multiply
   152,667x = 331,596 × 331,596
4. Step 4: Simplify right side
   152,667x = 109,955,907,216
5. Step 5: Solve for x
   x = 109,955,907,216/152,667
6. Step 6: Final answer
   x = 720,233.63