Finding the Third Proportional to 138,456 and 301,212

Step by Step Solution

1. Step 1: Write the proportion equation
   138,456 : 301,212 = 301,212 : x
2. Step 2: Convert to fraction form
   138,456/301,212 = 301,212/x
3. Step 3: Cross multiply
   138,456x = 301,212 × 301,212
4. Step 4: Simplify right side
   138,456x = 90,728,668,944
5. Step 5: Solve for x
   x = 90,728,668,944/138,456
6. Step 6: Final answer
   x = 655,288.82