Finding the Third Proportional to 402.94 and 816.56

Step by Step Solution

1. Step 1: Write the proportion equation
   402.94 : 816.56 = 816.56 : x
2. Step 2: Convert to fraction form
   402.94/816.56 = 816.56/x
3. Step 3: Cross multiply
   402.94x = 816.56 × 816.56
4. Step 4: Simplify right side
   402.94x = 666,774.32
5. Step 5: Solve for x
   x = 666,774.32/402.94
6. Step 6: Final answer
   x = 1,654.78