Finding the Third Proportional to 496.41 and 834.61

Step by Step Solution

1. Step 1: Write the proportion equation
   496.41 : 834.61 = 834.61 : x
2. Step 2: Convert to fraction form
   496.41/834.61 = 834.61/x
3. Step 3: Cross multiply
   496.41x = 834.61 × 834.61
4. Step 4: Simplify right side
   496.41x = 696,572.81
5. Step 5: Solve for x
   x = 696,572.81/496.41
6. Step 6: Final answer
   x = 1,403.23