Finding the Third Proportional to 362.50 and 557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362.50 : 557.50 = 557.50 : x
2. Step 2: Convert to fraction form
   362.50/557.50 = 557.50/x
3. Step 3: Cross multiply
   362.50x = 557.50 × 557.50
4. Step 4: Simplify right side
   362.50x = 310,806.25
5. Step 5: Solve for x
   x = 310,806.25/362.50
6. Step 6: Final answer
   x = 857.40