Finding the Third Proportional to 124.94 and 288.78

Step by Step Solution

1. Step 1: Write the proportion equation
   124.94 : 288.78 = 288.78 : x
2. Step 2: Convert to fraction form
   124.94/288.78 = 288.78/x
3. Step 3: Cross multiply
   124.94x = 288.78 × 288.78
4. Step 4: Simplify right side
   124.94x = 83,394.61
5. Step 5: Solve for x
   x = 83,394.61/124.94
6. Step 6: Final answer
   x = 667.49