Finding the Third Proportional to 200,256 and 375,288

Step by Step Solution

1. Step 1: Write the proportion equation
   200,256 : 375,288 = 375,288 : x
2. Step 2: Convert to fraction form
   200,256/375,288 = 375,288/x
3. Step 3: Cross multiply
   200,256x = 375,288 × 375,288
4. Step 4: Simplify right side
   200,256x = 140,841,082,944
5. Step 5: Solve for x
   x = 140,841,082,944/200,256
6. Step 6: Final answer
   x = 703,305.18