Finding the Third Proportional to 1,192.22 and 1,788.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.22 : 1,788.33 = 1,788.33 : x
2. Step 2: Convert to fraction form
   1,192.22/1,788.33 = 1,788.33/x
3. Step 3: Cross multiply
   1,192.22x = 1,788.33 × 1,788.33
4. Step 4: Simplify right side
   1,192.22x = 3,198,117.48
5. Step 5: Solve for x
   x = 3,198,117.48/1,192.22
6. Step 6: Final answer
   x = 2,682.49