Finding the Third Proportional to 105,296 and 225,064

Step by Step Solution

1. Step 1: Write the proportion equation
   105,296 : 225,064 = 225,064 : x
2. Step 2: Convert to fraction form
   105,296/225,064 = 225,064/x
3. Step 3: Cross multiply
   105,296x = 225,064 × 225,064
4. Step 4: Simplify right side
   105,296x = 50,653,804,096
5. Step 5: Solve for x
   x = 50,653,804,096/105,296
6. Step 6: Final answer
   x = 481,061.05