Finding the Third Proportional to 313,441 and 689,082

Step by Step Solution

1. Step 1: Write the proportion equation
   313,441 : 689,082 = 689,082 : x
2. Step 2: Convert to fraction form
   313,441/689,082 = 689,082/x
3. Step 3: Cross multiply
   313,441x = 689,082 × 689,082
4. Step 4: Simplify right side
   313,441x = 474,834,002,724
5. Step 5: Solve for x
   x = 474,834,002,724/313,441
6. Step 6: Final answer
   x = 1,514,907.12