Finding the Third Proportional to 314.38 and 488.88

Step by Step Solution

1. Step 1: Write the proportion equation
   314.38 : 488.88 = 488.88 : x
2. Step 2: Convert to fraction form
   314.38/488.88 = 488.88/x
3. Step 3: Cross multiply
   314.38x = 488.88 × 488.88
4. Step 4: Simplify right side
   314.38x = 238,998.77
5. Step 5: Solve for x
   x = 238,998.77/314.38
6. Step 6: Final answer
   x = 760.23