Finding the Third Proportional to 367,082 and 538,492

Step by Step Solution

1. Step 1: Write the proportion equation
   367,082 : 538,492 = 538,492 : x
2. Step 2: Convert to fraction form
   367,082/538,492 = 538,492/x
3. Step 3: Cross multiply
   367,082x = 538,492 × 538,492
4. Step 4: Simplify right side
   367,082x = 289,973,634,064
5. Step 5: Solve for x
   x = 289,973,634,064/367,082
6. Step 6: Final answer
   x = 789,942.39