Finding the Third Proportional to 240,964.50 and 509,055

Step by Step Solution

1. Step 1: Write the proportion equation
   240,964.50 : 509,055 = 509,055 : x
2. Step 2: Convert to fraction form
   240,964.50/509,055 = 509,055/x
3. Step 3: Cross multiply
   240,964.50x = 509,055 × 509,055
4. Step 4: Simplify right side
   240,964.50x = 259,136,993,025
5. Step 5: Solve for x
   x = 259,136,993,025/240,964.50
6. Step 6: Final answer
   x = 1,075,415.64