Finding the Third Proportional to 526.50 and 817.59

Step by Step Solution

1. Step 1: Write the proportion equation
   526.50 : 817.59 = 817.59 : x
2. Step 2: Convert to fraction form
   526.50/817.59 = 817.59/x
3. Step 3: Cross multiply
   526.50x = 817.59 × 817.59
4. Step 4: Simplify right side
   526.50x = 668,459.54
5. Step 5: Solve for x
   x = 668,459.54/526.50
6. Step 6: Final answer
   x = 1,269.63