Finding the Third Proportional to 323,386 and 680,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,386 : 680,286.50 = 680,286.50 : x
2. Step 2: Convert to fraction form
   323,386/680,286.50 = 680,286.50/x
3. Step 3: Cross multiply
   323,386x = 680,286.50 × 680,286.50
4. Step 4: Simplify right side
   323,386x = 462,789,722,082.25
5. Step 5: Solve for x
   x = 462,789,722,082.25/323,386
6. Step 6: Final answer
   x = 1,431,075.32