Finding the Third Proportional to 383,205 and 580,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,205 : 580,108.50 = 580,108.50 : x
2. Step 2: Convert to fraction form
   383,205/580,108.50 = 580,108.50/x
3. Step 3: Cross multiply
   383,205x = 580,108.50 × 580,108.50
4. Step 4: Simplify right side
   383,205x = 336,525,871,772.25
5. Step 5: Solve for x
   x = 336,525,871,772.25/383,205
6. Step 6: Final answer
   x = 878,187.58