Finding the Third Proportional to 526.78 and 601.03

Step by Step Solution

1. Step 1: Write the proportion equation
   526.78 : 601.03 = 601.03 : x
2. Step 2: Convert to fraction form
   526.78/601.03 = 601.03/x
3. Step 3: Cross multiply
   526.78x = 601.03 × 601.03
4. Step 4: Simplify right side
   526.78x = 361,238.56
5. Step 5: Solve for x
   x = 361,238.56/526.78
6. Step 6: Final answer
   x = 685.75