Finding the Third Proportional to 802.53 and 1,200.56

Step by Step Solution

1. Step 1: Write the proportion equation
   802.53 : 1,200.56 = 1,200.56 : x
2. Step 2: Convert to fraction form
   802.53/1,200.56 = 1,200.56/x
3. Step 3: Cross multiply
   802.53x = 1,200.56 × 1,200.56
4. Step 4: Simplify right side
   802.53x = 1,441,350.32
5. Step 5: Solve for x
   x = 1,441,350.32/802.53
6. Step 6: Final answer
   x = 1,796.01