Finding the Third Proportional to 123.50 and 267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 267.50 = 267.50 : x
2. Step 2: Convert to fraction form
   123.50/267.50 = 267.50/x
3. Step 3: Cross multiply
   123.50x = 267.50 × 267.50
4. Step 4: Simplify right side
   123.50x = 71,556.25
5. Step 5: Solve for x
   x = 71,556.25/123.50
6. Step 6: Final answer
   x = 579.40