Finding the Third Proportional to 520.50 and 553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   520.50 : 553.50 = 553.50 : x
2. Step 2: Convert to fraction form
   520.50/553.50 = 553.50/x
3. Step 3: Cross multiply
   520.50x = 553.50 × 553.50
4. Step 4: Simplify right side
   520.50x = 306,362.25
5. Step 5: Solve for x
   x = 306,362.25/520.50
6. Step 6: Final answer
   x = 588.59