Finding the Third Proportional to 992.25 and 1,495.69

Step by Step Solution

1. Step 1: Write the proportion equation
   992.25 : 1,495.69 = 1,495.69 : x
2. Step 2: Convert to fraction form
   992.25/1,495.69 = 1,495.69/x
3. Step 3: Cross multiply
   992.25x = 1,495.69 × 1,495.69
4. Step 4: Simplify right side
   992.25x = 2,237,081.10
5. Step 5: Solve for x
   x = 2,237,081.10/992.25
6. Step 6: Final answer
   x = 2,254.55