Finding the Third Proportional to 253,256 and 375,980

Step by Step Solution

1. Step 1: Write the proportion equation
   253,256 : 375,980 = 375,980 : x
2. Step 2: Convert to fraction form
   253,256/375,980 = 375,980/x
3. Step 3: Cross multiply
   253,256x = 375,980 × 375,980
4. Step 4: Simplify right side
   253,256x = 141,360,960,400
5. Step 5: Solve for x
   x = 141,360,960,400/253,256
6. Step 6: Final answer
   x = 558,174.18