Finding the Third Proportional to 383,380.50 and 580,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   383,380.50 : 580,443.75 = 580,443.75 : x
2. Step 2: Convert to fraction form
   383,380.50/580,443.75 = 580,443.75/x
3. Step 3: Cross multiply
   383,380.50x = 580,443.75 × 580,443.75
4. Step 4: Simplify right side
   383,380.50x = 336,914,946,914.06
5. Step 5: Solve for x
   x = 336,914,946,914.06/383,380.50
6. Step 6: Final answer
   x = 878,800.43