Finding the Third Proportional to 525.88 and 816.56

Step by Step Solution

1. Step 1: Write the proportion equation
   525.88 : 816.56 = 816.56 : x
2. Step 2: Convert to fraction form
   525.88/816.56 = 816.56/x
3. Step 3: Cross multiply
   525.88x = 816.56 × 816.56
4. Step 4: Simplify right side
   525.88x = 666,774.32
5. Step 5: Solve for x
   x = 666,774.32/525.88
6. Step 6: Final answer
   x = 1,267.93