Finding the Third Proportional to 492.96 and 1,046.78

Step by Step Solution

1. Step 1: Write the proportion equation
   492.96 : 1,046.78 = 1,046.78 : x
2. Step 2: Convert to fraction form
   492.96/1,046.78 = 1,046.78/x
3. Step 3: Cross multiply
   492.96x = 1,046.78 × 1,046.78
4. Step 4: Simplify right side
   492.96x = 1,095,749.71
5. Step 5: Solve for x
   x = 1,095,749.71/492.96
6. Step 6: Final answer
   x = 2,222.81