Finding the Third Proportional to 138,510 and 323,676

Step by Step Solution

1. Step 1: Write the proportion equation
   138,510 : 323,676 = 323,676 : x
2. Step 2: Convert to fraction form
   138,510/323,676 = 323,676/x
3. Step 3: Cross multiply
   138,510x = 323,676 × 323,676
4. Step 4: Simplify right side
   138,510x = 104,766,152,976
5. Step 5: Solve for x
   x = 104,766,152,976/138,510
6. Step 6: Final answer
   x = 756,379.71