Finding the Third Proportional to 381,874.50 and 583,139.25

Step by Step Solution

1. Step 1: Write the proportion equation
   381,874.50 : 583,139.25 = 583,139.25 : x
2. Step 2: Convert to fraction form
   381,874.50/583,139.25 = 583,139.25/x
3. Step 3: Cross multiply
   381,874.50x = 583,139.25 × 583,139.25
4. Step 4: Simplify right side
   381,874.50x = 340,051,384,890.56
5. Step 5: Solve for x
   x = 340,051,384,890.56/381,874.50
6. Step 6: Final answer
   x = 890,479.42