Finding the Third Proportional to 250,411.50 and 383,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   250,411.50 : 383,899.50 = 383,899.50 : x
2. Step 2: Convert to fraction form
   250,411.50/383,899.50 = 383,899.50/x
3. Step 3: Cross multiply
   250,411.50x = 383,899.50 × 383,899.50
4. Step 4: Simplify right side
   250,411.50x = 147,378,826,100.25
5. Step 5: Solve for x
   x = 147,378,826,100.25/250,411.50
6. Step 6: Final answer
   x = 588,546.56