Finding the Third Proportional to 527.50 and 672.25

Step by Step Solution

1. Step 1: Write the proportion equation
   527.50 : 672.25 = 672.25 : x
2. Step 2: Convert to fraction form
   527.50/672.25 = 672.25/x
3. Step 3: Cross multiply
   527.50x = 672.25 × 672.25
4. Step 4: Simplify right side
   527.50x = 451,920.06
5. Step 5: Solve for x
   x = 451,920.06/527.50
6. Step 6: Final answer
   x = 856.72