Finding the Third Proportional to 425.72 and 714.76

Step by Step Solution

1. Step 1: Write the proportion equation
   425.72 : 714.76 = 714.76 : x
2. Step 2: Convert to fraction form
   425.72/714.76 = 714.76/x
3. Step 3: Cross multiply
   425.72x = 714.76 × 714.76
4. Step 4: Simplify right side
   425.72x = 510,884.31
5. Step 5: Solve for x
   x = 510,884.31/425.72
6. Step 6: Final answer
   x = 1,200.03