Finding the Third Proportional to 498.50 and 572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498.50 : 572.50 = 572.50 : x
2. Step 2: Convert to fraction form
   498.50/572.50 = 572.50/x
3. Step 3: Cross multiply
   498.50x = 572.50 × 572.50
4. Step 4: Simplify right side
   498.50x = 327,756.25
5. Step 5: Solve for x
   x = 327,756.25/498.50
6. Step 6: Final answer
   x = 657.48