Finding the Third Proportional to 152,766 and 334,449

Step by Step Solution

1. Step 1: Write the proportion equation
   152,766 : 334,449 = 334,449 : x
2. Step 2: Convert to fraction form
   152,766/334,449 = 334,449/x
3. Step 3: Cross multiply
   152,766x = 334,449 × 334,449
4. Step 4: Simplify right side
   152,766x = 111,856,133,601
5. Step 5: Solve for x
   x = 111,856,133,601/152,766
6. Step 6: Final answer
   x = 732,205.68