Finding the Third Proportional to 270,819 and 419,111

Step by Step Solution

1. Step 1: Write the proportion equation
   270,819 : 419,111 = 419,111 : x
2. Step 2: Convert to fraction form
   270,819/419,111 = 419,111/x
3. Step 3: Cross multiply
   270,819x = 419,111 × 419,111
4. Step 4: Simplify right side
   270,819x = 175,654,030,321
5. Step 5: Solve for x
   x = 175,654,030,321/270,819
6. Step 6: Final answer
   x = 648,603.05