Finding the Third Proportional to 367,058 and 538,456

Step by Step Solution

1. Step 1: Write the proportion equation
   367,058 : 538,456 = 538,456 : x
2. Step 2: Convert to fraction form
   367,058/538,456 = 538,456/x
3. Step 3: Cross multiply
   367,058x = 538,456 × 538,456
4. Step 4: Simplify right side
   367,058x = 289,934,863,936
5. Step 5: Solve for x
   x = 289,934,863,936/367,058
6. Step 6: Final answer
   x = 789,888.42