Finding the Third Proportional to 270,435 and 577,064

Step by Step Solution

1. Step 1: Write the proportion equation
   270,435 : 577,064 = 577,064 : x
2. Step 2: Convert to fraction form
   270,435/577,064 = 577,064/x
3. Step 3: Cross multiply
   270,435x = 577,064 × 577,064
4. Step 4: Simplify right side
   270,435x = 333,002,860,096
5. Step 5: Solve for x
   x = 333,002,860,096/270,435
6. Step 6: Final answer
   x = 1,231,360.07