Finding the Third Proportional to 145,288 and 200,064

Step by Step Solution

1. Step 1: Write the proportion equation
   145,288 : 200,064 = 200,064 : x
2. Step 2: Convert to fraction form
   145,288/200,064 = 200,064/x
3. Step 3: Cross multiply
   145,288x = 200,064 × 200,064
4. Step 4: Simplify right side
   145,288x = 40,025,604,096
5. Step 5: Solve for x
   x = 40,025,604,096/145,288
6. Step 6: Final answer
   x = 275,491.47