Finding the Third Proportional to 436.25 and 892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   436.25 : 892.75 = 892.75 : x
2. Step 2: Convert to fraction form
   436.25/892.75 = 892.75/x
3. Step 3: Cross multiply
   436.25x = 892.75 × 892.75
4. Step 4: Simplify right side
   436.25x = 797,002.56
5. Step 5: Solve for x
   x = 797,002.56/436.25
6. Step 6: Final answer
   x = 1,826.94