Finding the Third Proportional to 714.50 and 768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   714.50 : 768.50 = 768.50 : x
2. Step 2: Convert to fraction form
   714.50/768.50 = 768.50/x
3. Step 3: Cross multiply
   714.50x = 768.50 × 768.50
4. Step 4: Simplify right side
   714.50x = 590,592.25
5. Step 5: Solve for x
   x = 590,592.25/714.50
6. Step 6: Final answer
   x = 826.58