Finding the Third Proportional to 250,501.50 and 509,751

Step by Step Solution

1. Step 1: Write the proportion equation
   250,501.50 : 509,751 = 509,751 : x
2. Step 2: Convert to fraction form
   250,501.50/509,751 = 509,751/x
3. Step 3: Cross multiply
   250,501.50x = 509,751 × 509,751
4. Step 4: Simplify right side
   250,501.50x = 259,846,082,001
5. Step 5: Solve for x
   x = 259,846,082,001/250,501.50
6. Step 6: Final answer
   x = 1,037,303.50