Finding the Third Proportional to 233,004.50 and 509,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,004.50 : 509,620.50 = 509,620.50 : x
2. Step 2: Convert to fraction form
   233,004.50/509,620.50 = 509,620.50/x
3. Step 3: Cross multiply
   233,004.50x = 509,620.50 × 509,620.50
4. Step 4: Simplify right side
   233,004.50x = 259,713,054,020.25
5. Step 5: Solve for x
   x = 259,713,054,020.25/233,004.50
6. Step 6: Final answer
   x = 1,114,626.77