Finding the Third Proportional to 367,086 and 538,498

Step by Step Solution

1. Step 1: Write the proportion equation
   367,086 : 538,498 = 538,498 : x
2. Step 2: Convert to fraction form
   367,086/538,498 = 538,498/x
3. Step 3: Cross multiply
   367,086x = 538,498 × 538,498
4. Step 4: Simplify right side
   367,086x = 289,980,096,004
5. Step 5: Solve for x
   x = 289,980,096,004/367,086
6. Step 6: Final answer
   x = 789,951.39