Finding the Third Proportional to 123.50 and 219.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 219.25 = 219.25 : x
2. Step 2: Convert to fraction form
   123.50/219.25 = 219.25/x
3. Step 3: Cross multiply
   123.50x = 219.25 × 219.25
4. Step 4: Simplify right side
   123.50x = 48,070.56
5. Step 5: Solve for x
   x = 48,070.56/123.50
6. Step 6: Final answer
   x = 389.24