Finding the Third Proportional to 123,056 and 267,456

Step by Step Solution

1. Step 1: Write the proportion equation
   123,056 : 267,456 = 267,456 : x
2. Step 2: Convert to fraction form
   123,056/267,456 = 267,456/x
3. Step 3: Cross multiply
   123,056x = 267,456 × 267,456
4. Step 4: Simplify right side
   123,056x = 71,532,711,936
5. Step 5: Solve for x
   x = 71,532,711,936/123,056
6. Step 6: Final answer
   x = 581,302.11