Finding the Third Proportional to 522.56 and 860.06

Step by Step Solution

1. Step 1: Write the proportion equation
   522.56 : 860.06 = 860.06 : x
2. Step 2: Convert to fraction form
   522.56/860.06 = 860.06/x
3. Step 3: Cross multiply
   522.56x = 860.06 × 860.06
4. Step 4: Simplify right side
   522.56x = 739,707.50
5. Step 5: Solve for x
   x = 739,707.50/522.56
6. Step 6: Final answer
   x = 1,415.54