Finding the Third Proportional to 383,172 and 580,065

Step by Step Solution

1. Step 1: Write the proportion equation
   383,172 : 580,065 = 580,065 : x
2. Step 2: Convert to fraction form
   383,172/580,065 = 580,065/x
3. Step 3: Cross multiply
   383,172x = 580,065 × 580,065
4. Step 4: Simplify right side
   383,172x = 336,475,404,225
5. Step 5: Solve for x
   x = 336,475,404,225/383,172
6. Step 6: Final answer
   x = 878,131.50