Finding the Third Proportional to 320,526 and 498,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,526 : 498,286.50 = 498,286.50 : x
2. Step 2: Convert to fraction form
   320,526/498,286.50 = 498,286.50/x
3. Step 3: Cross multiply
   320,526x = 498,286.50 × 498,286.50
4. Step 4: Simplify right side
   320,526x = 248,289,436,082.25
5. Step 5: Solve for x
   x = 248,289,436,082.25/320,526
6. Step 6: Final answer
   x = 774,631.19