Finding the Third Proportional to 399.47 and 835.69

Step by Step Solution

1. Step 1: Write the proportion equation
   399.47 : 835.69 = 835.69 : x
2. Step 2: Convert to fraction form
   399.47/835.69 = 835.69/x
3. Step 3: Cross multiply
   399.47x = 835.69 × 835.69
4. Step 4: Simplify right side
   399.47x = 698,373.60
5. Step 5: Solve for x
   x = 698,373.60/399.47
6. Step 6: Final answer
   x = 1,748.26