Finding the Third Proportional to 146,164 and 319,384

Step by Step Solution

1. Step 1: Write the proportion equation
   146,164 : 319,384 = 319,384 : x
2. Step 2: Convert to fraction form
   146,164/319,384 = 319,384/x
3. Step 3: Cross multiply
   146,164x = 319,384 × 319,384
4. Step 4: Simplify right side
   146,164x = 102,006,139,456
5. Step 5: Solve for x
   x = 102,006,139,456/146,164
6. Step 6: Final answer
   x = 697,888.26