Finding the Third Proportional to 414,867 and 567,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,867 : 567,769.50 = 567,769.50 : x
2. Step 2: Convert to fraction form
   414,867/567,769.50 = 567,769.50/x
3. Step 3: Cross multiply
   414,867x = 567,769.50 × 567,769.50
4. Step 4: Simplify right side
   414,867x = 322,362,205,130.25
5. Step 5: Solve for x
   x = 322,362,205,130.25/414,867
6. Step 6: Final answer
   x = 777,025.42