Finding the Third Proportional to 196,163.50 and 415,870

Step by Step Solution

1. Step 1: Write the proportion equation
   196,163.50 : 415,870 = 415,870 : x
2. Step 2: Convert to fraction form
   196,163.50/415,870 = 415,870/x
3. Step 3: Cross multiply
   196,163.50x = 415,870 × 415,870
4. Step 4: Simplify right side
   196,163.50x = 172,947,856,900
5. Step 5: Solve for x
   x = 172,947,856,900/196,163.50
6. Step 6: Final answer
   x = 881,651.57