Finding the Third Proportional to 647.50 and 704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   647.50 : 704.50 = 704.50 : x
2. Step 2: Convert to fraction form
   647.50/704.50 = 704.50/x
3. Step 3: Cross multiply
   647.50x = 704.50 × 704.50
4. Step 4: Simplify right side
   647.50x = 496,320.25
5. Step 5: Solve for x
   x = 496,320.25/647.50
6. Step 6: Final answer
   x = 766.52