Finding the Third Proportional to 107.50 and 279.25

Step by Step Solution

1. Step 1: Write the proportion equation
   107.50 : 279.25 = 279.25 : x
2. Step 2: Convert to fraction form
   107.50/279.25 = 279.25/x
3. Step 3: Cross multiply
   107.50x = 279.25 × 279.25
4. Step 4: Simplify right side
   107.50x = 77,980.56
5. Step 5: Solve for x
   x = 77,980.56/107.50
6. Step 6: Final answer
   x = 725.40