Finding the Third Proportional to 138,476 and 301,256

Step by Step Solution

1. Step 1: Write the proportion equation
   138,476 : 301,256 = 301,256 : x
2. Step 2: Convert to fraction form
   138,476/301,256 = 301,256/x
3. Step 3: Cross multiply
   138,476x = 301,256 × 301,256
4. Step 4: Simplify right side
   138,476x = 90,755,177,536
5. Step 5: Solve for x
   x = 90,755,177,536/138,476
6. Step 6: Final answer
   x = 655,385.61