Finding the Third Proportional to 564.56 and 808.03

Step by Step Solution

1. Step 1: Write the proportion equation
   564.56 : 808.03 = 808.03 : x
2. Step 2: Convert to fraction form
   564.56/808.03 = 808.03/x
3. Step 3: Cross multiply
   564.56x = 808.03 × 808.03
4. Step 4: Simplify right side
   564.56x = 652,914.50
5. Step 5: Solve for x
   x = 652,914.50/564.56
6. Step 6: Final answer
   x = 1,156.50