Finding the Third Proportional to 200,653 and 275,142

Step by Step Solution

1. Step 1: Write the proportion equation
   200,653 : 275,142 = 275,142 : x
2. Step 2: Convert to fraction form
   200,653/275,142 = 275,142/x
3. Step 3: Cross multiply
   200,653x = 275,142 × 275,142
4. Step 4: Simplify right side
   200,653x = 75,703,120,164
5. Step 5: Solve for x
   x = 75,703,120,164/200,653
6. Step 6: Final answer
   x = 377,283.77