Finding the Third Proportional to 280.34 and 612.56

Step by Step Solution

1. Step 1: Write the proportion equation
   280.34 : 612.56 = 612.56 : x
2. Step 2: Convert to fraction form
   280.34/612.56 = 612.56/x
3. Step 3: Cross multiply
   280.34x = 612.56 × 612.56
4. Step 4: Simplify right side
   280.34x = 375,232.82
5. Step 5: Solve for x
   x = 375,232.82/280.34
6. Step 6: Final answer
   x = 1,338.51