Finding the Third Proportional to 279.50 and 435.25

Step by Step Solution

1. Step 1: Write the proportion equation
   279.50 : 435.25 = 435.25 : x
2. Step 2: Convert to fraction form
   279.50/435.25 = 435.25/x
3. Step 3: Cross multiply
   279.50x = 435.25 × 435.25
4. Step 4: Simplify right side
   279.50x = 189,442.56
5. Step 5: Solve for x
   x = 189,442.56/279.50
6. Step 6: Final answer
   x = 677.79