Finding the Third Proportional to 123,084 and 289,787

Step by Step Solution

1. Step 1: Write the proportion equation
   123,084 : 289,787 = 289,787 : x
2. Step 2: Convert to fraction form
   123,084/289,787 = 289,787/x
3. Step 3: Cross multiply
   123,084x = 289,787 × 289,787
4. Step 4: Simplify right side
   123,084x = 83,976,505,369
5. Step 5: Solve for x
   x = 83,976,505,369/123,084
6. Step 6: Final answer
   x = 682,269.88