Finding the Third Proportional to 442.50 and 498.75

Step by Step Solution

1. Step 1: Write the proportion equation
   442.50 : 498.75 = 498.75 : x
2. Step 2: Convert to fraction form
   442.50/498.75 = 498.75/x
3. Step 3: Cross multiply
   442.50x = 498.75 × 498.75
4. Step 4: Simplify right side
   442.50x = 248,751.56
5. Step 5: Solve for x
   x = 248,751.56/442.50
6. Step 6: Final answer
   x = 562.15