Finding the Third Proportional to 492.75 and 492.75

Step by Step Solution

1. Step 1: Write the proportion equation
   492.75 : 492.75 = 492.75 : x
2. Step 2: Convert to fraction form
   492.75/492.75 = 492.75/x
3. Step 3: Cross multiply
   492.75x = 492.75 × 492.75
4. Step 4: Simplify right side
   492.75x = 242,802.56
5. Step 5: Solve for x
   x = 242,802.56/492.75
6. Step 6: Final answer
   x = 492.75