Finding the Third Proportional to 992.81 and 1,498.78

Step by Step Solution

1. Step 1: Write the proportion equation
   992.81 : 1,498.78 = 1,498.78 : x
2. Step 2: Convert to fraction form
   992.81/1,498.78 = 1,498.78/x
3. Step 3: Cross multiply
   992.81x = 1,498.78 × 1,498.78
4. Step 4: Simplify right side
   992.81x = 2,246,345.24
5. Step 5: Solve for x
   x = 2,246,345.24/992.81
6. Step 6: Final answer
   x = 2,262.61