Finding the Third Proportional to 386,559 and 544,360.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,559 : 544,360.50 = 544,360.50 : x
2. Step 2: Convert to fraction form
   386,559/544,360.50 = 544,360.50/x
3. Step 3: Cross multiply
   386,559x = 544,360.50 × 544,360.50
4. Step 4: Simplify right side
   386,559x = 296,328,353,960.25
5. Step 5: Solve for x
   x = 296,328,353,960.25/386,559
6. Step 6: Final answer
   x = 766,579.89