Finding the Third Proportional to 146,227.50 and 320,382

Step by Step Solution

1. Step 1: Write the proportion equation
   146,227.50 : 320,382 = 320,382 : x
2. Step 2: Convert to fraction form
   146,227.50/320,382 = 320,382/x
3. Step 3: Cross multiply
   146,227.50x = 320,382 × 320,382
4. Step 4: Simplify right side
   146,227.50x = 102,644,625,924
5. Step 5: Solve for x
   x = 102,644,625,924/146,227.50
6. Step 6: Final answer
   x = 701,951.59