Finding the Third Proportional to 250,996 and 538,388

Step by Step Solution

1. Step 1: Write the proportion equation
   250,996 : 538,388 = 538,388 : x
2. Step 2: Convert to fraction form
   250,996/538,388 = 538,388/x
3. Step 3: Cross multiply
   250,996x = 538,388 × 538,388
4. Step 4: Simplify right side
   250,996x = 289,861,638,544
5. Step 5: Solve for x
   x = 289,861,638,544/250,996
6. Step 6: Final answer
   x = 1,154,845.65