Finding the Third Proportional to 270,784 and 419,075.63

Step by Step Solution

1. Step 1: Write the proportion equation
   270,784 : 419,075.63 = 419,075.63 : x
2. Step 2: Convert to fraction form
   270,784/419,075.63 = 419,075.63/x
3. Step 3: Cross multiply
   270,784x = 419,075.63 × 419,075.63
4. Step 4: Simplify right side
   270,784x = 175,624,379,469.14
5. Step 5: Solve for x
   x = 175,624,379,469.14/270,784
6. Step 6: Final answer
   x = 648,577.39