Finding the Third Proportional to 523.92 and 1,090.83

Step by Step Solution

1. Step 1: Write the proportion equation
   523.92 : 1,090.83 = 1,090.83 : x
2. Step 2: Convert to fraction form
   523.92/1,090.83 = 1,090.83/x
3. Step 3: Cross multiply
   523.92x = 1,090.83 × 1,090.83
4. Step 4: Simplify right side
   523.92x = 1,189,906.00
5. Step 5: Solve for x
   x = 1,189,906.00/523.92
6. Step 6: Final answer
   x = 2,271.15