Finding the Third Proportional to 667.75 and 892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   667.75 : 892.75 = 892.75 : x
2. Step 2: Convert to fraction form
   667.75/892.75 = 892.75/x
3. Step 3: Cross multiply
   667.75x = 892.75 × 892.75
4. Step 4: Simplify right side
   667.75x = 797,002.56
5. Step 5: Solve for x
   x = 797,002.56/667.75
6. Step 6: Final answer
   x = 1,193.56