Finding the Third Proportional to 498.75 and 762.38

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 762.38 = 762.38 : x
2. Step 2: Convert to fraction form
   498.75/762.38 = 762.38/x
3. Step 3: Cross multiply
   498.75x = 762.38 × 762.38
4. Step 4: Simplify right side
   498.75x = 581,215.64
5. Step 5: Solve for x
   x = 581,215.64/498.75
6. Step 6: Final answer
   x = 1,165.34