Finding the Third Proportional to 199,453.50 and 415,734

Step by Step Solution

1. Step 1: Write the proportion equation
   199,453.50 : 415,734 = 415,734 : x
2. Step 2: Convert to fraction form
   199,453.50/415,734 = 415,734/x
3. Step 3: Cross multiply
   199,453.50x = 415,734 × 415,734
4. Step 4: Simplify right side
   199,453.50x = 172,834,758,756
5. Step 5: Solve for x
   x = 172,834,758,756/199,453.50
6. Step 6: Final answer
   x = 866,541.62