Finding the Third Proportional to 498.75 and 561.75

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 561.75 = 561.75 : x
2. Step 2: Convert to fraction form
   498.75/561.75 = 561.75/x
3. Step 3: Cross multiply
   498.75x = 561.75 × 561.75
4. Step 4: Simplify right side
   498.75x = 315,563.06
5. Step 5: Solve for x
   x = 315,563.06/498.75
6. Step 6: Final answer
   x = 632.71