Finding the Third Proportional to 146,256 and 319,308

Step by Step Solution

1. Step 1: Write the proportion equation
   146,256 : 319,308 = 319,308 : x
2. Step 2: Convert to fraction form
   146,256/319,308 = 319,308/x
3. Step 3: Cross multiply
   146,256x = 319,308 × 319,308
4. Step 4: Simplify right side
   146,256x = 101,957,598,864
5. Step 5: Solve for x
   x = 101,957,598,864/146,256
6. Step 6: Final answer
   x = 697,117.38