Finding the Third Proportional to 161,540 and 331,141

Step by Step Solution

1. Step 1: Write the proportion equation
   161,540 : 331,141 = 331,141 : x
2. Step 2: Convert to fraction form
   161,540/331,141 = 331,141/x
3. Step 3: Cross multiply
   161,540x = 331,141 × 331,141
4. Step 4: Simplify right side
   161,540x = 109,654,361,881
5. Step 5: Solve for x
   x = 109,654,361,881/161,540
6. Step 6: Final answer
   x = 678,806.25