Finding the Third Proportional to 498.75 and 714.38

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 714.38 = 714.38 : x
2. Step 2: Convert to fraction form
   498.75/714.38 = 714.38/x
3. Step 3: Cross multiply
   498.75x = 714.38 × 714.38
4. Step 4: Simplify right side
   498.75x = 510,331.64
5. Step 5: Solve for x
   x = 510,331.64/498.75
6. Step 6: Final answer
   x = 1,023.22