Finding the Third Proportional to 464.06 and 522.56

Step by Step Solution

1. Step 1: Write the proportion equation
   464.06 : 522.56 = 522.56 : x
2. Step 2: Convert to fraction form
   464.06/522.56 = 522.56/x
3. Step 3: Cross multiply
   464.06x = 522.56 × 522.56
4. Step 4: Simplify right side
   464.06x = 273,071.57
5. Step 5: Solve for x
   x = 273,071.57/464.06
6. Step 6: Final answer
   x = 588.44