Finding the Third Proportional to 356,916 and 538,398

Step by Step Solution

1. Step 1: Write the proportion equation
   356,916 : 538,398 = 538,398 : x
2. Step 2: Convert to fraction form
   356,916/538,398 = 538,398/x
3. Step 3: Cross multiply
   356,916x = 538,398 × 538,398
4. Step 4: Simplify right side
   356,916x = 289,872,406,404
5. Step 5: Solve for x
   x = 289,872,406,404/356,916
6. Step 6: Final answer
   x = 812,158.62