Finding the Third Proportional to 138,142 and 301,268

Step by Step Solution

1. Step 1: Write the proportion equation
   138,142 : 301,268 = 301,268 : x
2. Step 2: Convert to fraction form
   138,142/301,268 = 301,268/x
3. Step 3: Cross multiply
   138,142x = 301,268 × 301,268
4. Step 4: Simplify right side
   138,142x = 90,762,407,824
5. Step 5: Solve for x
   x = 90,762,407,824/138,142
6. Step 6: Final answer
   x = 657,022.54