Finding the Third Proportional to 83,529 and 173,970

Step by Step Solution

1. Step 1: Write the proportion equation
   83,529 : 173,970 = 173,970 : x
2. Step 2: Convert to fraction form
   83,529/173,970 = 173,970/x
3. Step 3: Cross multiply
   83,529x = 173,970 × 173,970
4. Step 4: Simplify right side
   83,529x = 30,265,560,900
5. Step 5: Solve for x
   x = 30,265,560,900/83,529
6. Step 6: Final answer
   x = 362,335.97