Finding the Third Proportional to 196,209.50 and 415,766

Step by Step Solution

1. Step 1: Write the proportion equation
   196,209.50 : 415,766 = 415,766 : x
2. Step 2: Convert to fraction form
   196,209.50/415,766 = 415,766/x
3. Step 3: Cross multiply
   196,209.50x = 415,766 × 415,766
4. Step 4: Simplify right side
   196,209.50x = 172,861,366,756
5. Step 5: Solve for x
   x = 172,861,366,756/196,209.50
6. Step 6: Final answer
   x = 881,004.06