Finding the Third Proportional to 385,266 and 511,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,266 : 511,204.50 = 511,204.50 : x
2. Step 2: Convert to fraction form
   385,266/511,204.50 = 511,204.50/x
3. Step 3: Cross multiply
   385,266x = 511,204.50 × 511,204.50
4. Step 4: Simplify right side
   385,266x = 261,330,040,820.25
5. Step 5: Solve for x
   x = 261,330,040,820.25/385,266
6. Step 6: Final answer
   x = 678,310.68