Finding the Third Proportional to 624.50 and 705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   624.50 : 705.50 = 705.50 : x
2. Step 2: Convert to fraction form
   624.50/705.50 = 705.50/x
3. Step 3: Cross multiply
   624.50x = 705.50 × 705.50
4. Step 4: Simplify right side
   624.50x = 497,730.25
5. Step 5: Solve for x
   x = 497,730.25/624.50
6. Step 6: Final answer
   x = 797.01