Finding the Third Proportional to 123,058 and 267,460

Step by Step Solution

1. Step 1: Write the proportion equation
   123,058 : 267,460 = 267,460 : x
2. Step 2: Convert to fraction form
   123,058/267,460 = 267,460/x
3. Step 3: Cross multiply
   123,058x = 267,460 × 267,460
4. Step 4: Simplify right side
   123,058x = 71,534,851,600
5. Step 5: Solve for x
   x = 71,534,851,600/123,058
6. Step 6: Final answer
   x = 581,310.05