Finding the Third Proportional to 498.38 and 957.94

Step by Step Solution

1. Step 1: Write the proportion equation
   498.38 : 957.94 = 957.94 : x
2. Step 2: Convert to fraction form
   498.38/957.94 = 957.94/x
3. Step 3: Cross multiply
   498.38x = 957.94 × 957.94
4. Step 4: Simplify right side
   498.38x = 917,644.25
5. Step 5: Solve for x
   x = 917,644.25/498.38
6. Step 6: Final answer
   x = 1,841.27