Finding the Third Proportional to 270,819 and 419,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,819 : 419,111.50 = 419,111.50 : x
2. Step 2: Convert to fraction form
   270,819/419,111.50 = 419,111.50/x
3. Step 3: Cross multiply
   270,819x = 419,111.50 × 419,111.50
4. Step 4: Simplify right side
   270,819x = 175,654,449,432.25
5. Step 5: Solve for x
   x = 175,654,449,432.25/270,819
6. Step 6: Final answer
   x = 648,604.60