Finding the Third Proportional to 124.50 and 306.56

Step by Step Solution

1. Step 1: Write the proportion equation
   124.50 : 306.56 = 306.56 : x
2. Step 2: Convert to fraction form
   124.50/306.56 = 306.56/x
3. Step 3: Cross multiply
   124.50x = 306.56 × 306.56
4. Step 4: Simplify right side
   124.50x = 93,980.57
5. Step 5: Solve for x
   x = 93,980.57/124.50
6. Step 6: Final answer
   x = 754.86