Finding the Third Proportional to 123,084 and 267,176

Step by Step Solution

1. Step 1: Write the proportion equation
   123,084 : 267,176 = 267,176 : x
2. Step 2: Convert to fraction form
   123,084/267,176 = 267,176/x
3. Step 3: Cross multiply
   123,084x = 267,176 × 267,176
4. Step 4: Simplify right side
   123,084x = 71,383,014,976
5. Step 5: Solve for x
   x = 71,383,014,976/123,084
6. Step 6: Final answer
   x = 579,953.65