Finding the Third Proportional to 123.50 and 263.38

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 263.38 = 263.38 : x
2. Step 2: Convert to fraction form
   123.50/263.38 = 263.38/x
3. Step 3: Cross multiply
   123.50x = 263.38 × 263.38
4. Step 4: Simplify right side
   123.50x = 69,366.39
5. Step 5: Solve for x
   x = 69,366.39/123.50
6. Step 6: Final answer
   x = 561.67