Finding the Third Proportional to 252,180 and 381,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,180 : 381,280.50 = 381,280.50 : x
2. Step 2: Convert to fraction form
   252,180/381,280.50 = 381,280.50/x
3. Step 3: Cross multiply
   252,180x = 381,280.50 × 381,280.50
4. Step 4: Simplify right side
   252,180x = 145,374,819,680.25
5. Step 5: Solve for x
   x = 145,374,819,680.25/252,180
6. Step 6: Final answer
   x = 576,472.44