Finding the Third Proportional to 146,588 and 319,510

Step by Step Solution

1. Step 1: Write the proportion equation
   146,588 : 319,510 = 319,510 : x
2. Step 2: Convert to fraction form
   146,588/319,510 = 319,510/x
3. Step 3: Cross multiply
   146,588x = 319,510 × 319,510
4. Step 4: Simplify right side
   146,588x = 102,086,640,100
5. Step 5: Solve for x
   x = 102,086,640,100/146,588
6. Step 6: Final answer
   x = 696,418.81