Finding the Third Proportional to 511,173 and 773,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,173 : 773,923.50 = 773,923.50 : x
2. Step 2: Convert to fraction form
   511,173/773,923.50 = 773,923.50/x
3. Step 3: Cross multiply
   511,173x = 773,923.50 × 773,923.50
4. Step 4: Simplify right side
   511,173x = 598,957,583,852.25
5. Step 5: Solve for x
   x = 598,957,583,852.25/511,173
6. Step 6: Final answer
   x = 1,171,731.65