Finding the Third Proportional to 123,085 and 289,790

Step by Step Solution

1. Step 1: Write the proportion equation
   123,085 : 289,790 = 289,790 : x
2. Step 2: Convert to fraction form
   123,085/289,790 = 289,790/x
3. Step 3: Cross multiply
   123,085x = 289,790 × 289,790
4. Step 4: Simplify right side
   123,085x = 83,978,244,100
5. Step 5: Solve for x
   x = 83,978,244,100/123,085
6. Step 6: Final answer
   x = 682,278.46