Finding the Third Proportional to 152,355 and 334,245

Step by Step Solution

1. Step 1: Write the proportion equation
   152,355 : 334,245 = 334,245 : x
2. Step 2: Convert to fraction form
   152,355/334,245 = 334,245/x
3. Step 3: Cross multiply
   152,355x = 334,245 × 334,245
4. Step 4: Simplify right side
   152,355x = 111,719,720,025
5. Step 5: Solve for x
   x = 111,719,720,025/152,355
6. Step 6: Final answer
   x = 733,285.55