Finding the Third Proportional to 498.94 and 834.47

Step by Step Solution

1. Step 1: Write the proportion equation
   498.94 : 834.47 = 834.47 : x
2. Step 2: Convert to fraction form
   498.94/834.47 = 834.47/x
3. Step 3: Cross multiply
   498.94x = 834.47 × 834.47
4. Step 4: Simplify right side
   498.94x = 696,338.09
5. Step 5: Solve for x
   x = 696,338.09/498.94
6. Step 6: Final answer
   x = 1,395.64