Finding the Third Proportional to 140,256 and 301,896

Step by Step Solution

1. Step 1: Write the proportion equation
   140,256 : 301,896 = 301,896 : x
2. Step 2: Convert to fraction form
   140,256/301,896 = 301,896/x
3. Step 3: Cross multiply
   140,256x = 301,896 × 301,896
4. Step 4: Simplify right side
   140,256x = 91,141,194,816
5. Step 5: Solve for x
   x = 91,141,194,816/140,256
6. Step 6: Final answer
   x = 649,820.29