Finding the Third Proportional to 383,578.50 and 587,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,578.50 : 587,047.50 = 587,047.50 : x
2. Step 2: Convert to fraction form
   383,578.50/587,047.50 = 587,047.50/x
3. Step 3: Cross multiply
   383,578.50x = 587,047.50 × 587,047.50
4. Step 4: Simplify right side
   383,578.50x = 344,624,767,256.25
5. Step 5: Solve for x
   x = 344,624,767,256.25/383,578.50
6. Step 6: Final answer
   x = 898,446.52