Finding the Third Proportional to 171,540 and 377,982

Step by Step Solution

1. Step 1: Write the proportion equation
   171,540 : 377,982 = 377,982 : x
2. Step 2: Convert to fraction form
   171,540/377,982 = 377,982/x
3. Step 3: Cross multiply
   171,540x = 377,982 × 377,982
4. Step 4: Simplify right side
   171,540x = 142,870,392,324
5. Step 5: Solve for x
   x = 142,870,392,324/171,540
6. Step 6: Final answer
   x = 832,869.26