Finding the Third Proportional to 117.50 and 279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117.50 : 279.50 = 279.50 : x
2. Step 2: Convert to fraction form
   117.50/279.50 = 279.50/x
3. Step 3: Cross multiply
   117.50x = 279.50 × 279.50
4. Step 4: Simplify right side
   117.50x = 78,120.25
5. Step 5: Solve for x
   x = 78,120.25/117.50
6. Step 6: Final answer
   x = 664.85