Finding the Third Proportional to 152,682 and 333,650

Step by Step Solution

1. Step 1: Write the proportion equation
   152,682 : 333,650 = 333,650 : x
2. Step 2: Convert to fraction form
   152,682/333,650 = 333,650/x
3. Step 3: Cross multiply
   152,682x = 333,650 × 333,650
4. Step 4: Simplify right side
   152,682x = 111,322,322,500
5. Step 5: Solve for x
   x = 111,322,322,500/152,682
6. Step 6: Final answer
   x = 729,112.29