Finding the Third Proportional to 145,288 and 200,076

Step by Step Solution

1. Step 1: Write the proportion equation
   145,288 : 200,076 = 200,076 : x
2. Step 2: Convert to fraction form
   145,288/200,076 = 200,076/x
3. Step 3: Cross multiply
   145,288x = 200,076 × 200,076
4. Step 4: Simplify right side
   145,288x = 40,030,405,776
5. Step 5: Solve for x
   x = 40,030,405,776/145,288
6. Step 6: Final answer
   x = 275,524.52