Finding the Third Proportional to 123,082 and 267,172

Step by Step Solution

1. Step 1: Write the proportion equation
   123,082 : 267,172 = 267,172 : x
2. Step 2: Convert to fraction form
   123,082/267,172 = 267,172/x
3. Step 3: Cross multiply
   123,082x = 267,172 × 267,172
4. Step 4: Simplify right side
   123,082x = 71,380,877,584
5. Step 5: Solve for x
   x = 71,380,877,584/123,082
6. Step 6: Final answer
   x = 579,945.71