Finding the Third Proportional to 369.56 and 808.31

Step by Step Solution

1. Step 1: Write the proportion equation
   369.56 : 808.31 = 808.31 : x
2. Step 2: Convert to fraction form
   369.56/808.31 = 808.31/x
3. Step 3: Cross multiply
   369.56x = 808.31 × 808.31
4. Step 4: Simplify right side
   369.56x = 653,369.10
5. Step 5: Solve for x
   x = 653,369.10/369.56
6. Step 6: Final answer
   x = 1,767.95