Finding the Third Proportional to 152,404 and 334,328

Step by Step Solution

1. Step 1: Write the proportion equation
   152,404 : 334,328 = 334,328 : x
2. Step 2: Convert to fraction form
   152,404/334,328 = 334,328/x
3. Step 3: Cross multiply
   152,404x = 334,328 × 334,328
4. Step 4: Simplify right side
   152,404x = 111,775,211,584
5. Step 5: Solve for x
   x = 111,775,211,584/152,404
6. Step 6: Final answer
   x = 733,413.90