Finding the Third Proportional to 382,890 and 548,050.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,890 : 548,050.50 = 548,050.50 : x
2. Step 2: Convert to fraction form
   382,890/548,050.50 = 548,050.50/x
3. Step 3: Cross multiply
   382,890x = 548,050.50 × 548,050.50
4. Step 4: Simplify right side
   382,890x = 300,359,350,550.25
5. Step 5: Solve for x
   x = 300,359,350,550.25/382,890
6. Step 6: Final answer
   x = 784,453.37