Finding the Third Proportional to 527.91 and 610.52

Step by Step Solution

1. Step 1: Write the proportion equation
   527.91 : 610.52 = 610.52 : x
2. Step 2: Convert to fraction form
   527.91/610.52 = 610.52/x
3. Step 3: Cross multiply
   527.91x = 610.52 × 610.52
4. Step 4: Simplify right side
   527.91x = 372,738.87
5. Step 5: Solve for x
   x = 372,738.87/527.91
6. Step 6: Final answer
   x = 706.07