Finding the Third Proportional to 123,082 and 266,535

Step by Step Solution

1. Step 1: Write the proportion equation
   123,082 : 266,535 = 266,535 : x
2. Step 2: Convert to fraction form
   123,082/266,535 = 266,535/x
3. Step 3: Cross multiply
   123,082x = 266,535 × 266,535
4. Step 4: Simplify right side
   123,082x = 71,040,906,225
5. Step 5: Solve for x
   x = 71,040,906,225/123,082
6. Step 6: Final answer
   x = 577,183.55